6962 has 6 divisors (see below), whose sum is σ = 10623. Its totient is φ = 3422.

The previous prime is 6961. The next prime is 6967. The reversal of 6962 is 2696.

Multipling 6962 by its product of digits (648), we get a square (4511376 = 2124^{2}).

It can be divided in two parts, 69 and 62, that multiplied together give a triangular number (4278 = T_{92}).

It can be written as a sum of positive squares in only one way, i.e., 3481 + 3481 = 59^2 + 59^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=59.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 89 + ... + 147.

2^{6962} is an apocalyptic number.

6962 is a deficient number, since it is larger than the sum of its proper divisors (3661).

6962 is an equidigital number, since it uses as much as digits as its factorization.

6962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 61 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 6962 is about 83.4386001800. The cubic root of 6962 is about 19.0946340564.

The spelling of 6962 in words is "six thousand, nine hundred sixty-two".

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