# 961

## 961 is an odd composite number. It is composed of a single prime number multiplied by itself.

What does the number 961 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 3 divisors.

961 is an odd composite number. It has a total of three divisors.

## Prime factorization of 961:

### 312

(31 × 31)

See below for interesting mathematical facts about the number 961 from the Numbermatics database.

### Names of 961

• Cardinal: 961 can be written as Nine hundred sixty-one.

### Scientific notation

• Scientific notation: 9.61 × 102

### Factors of 961

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 31

### Divisors of 961

• Number of divisors d(n): 3
• Complete list of divisors:
• Sum of all divisors σ(n): 993
• Sum of proper divisors (its aliquot sum) s(n): 32
• 961 is a deficient number, because the sum of its proper divisors (32) is less than itself. Its deficiency is 929

### Bases of 961

• Binary: 11110000012
• Base-36: QP

### Squares and roots of 961

• 961 squared (9612) is 923521
• 961 cubed (9613) is 887503681
• 961 is a perfect square number. Its square root is 31
• The cube root of 961 is 9.8682724031

### Scales and comparisons

How big is 961?
• 961 seconds is equal to 16 minutes, 1 second.
• To count from 1 to 961 would take you about eight minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 961 cubic inches would be around 0.8 feet tall.

### Recreational maths with 961

• 961 backwards is 169
• The number of decimal digits it has is: 3
• The sum of 961's digits is 16
• More coming soon!

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