965972 has 12 divisors (see below), whose sum is σ = 1932000. Its totient is φ = 413976.

The previous prime is 965969. The next prime is 965983. The reversal of 965972 is 279569.

965972 is an admirable number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17222 + ... + 17277.

It is an arithmetic number, because the mean of its divisors is an integer number (161000).

2⁹⁶⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

965972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

965972 is a wasteful number, since it uses less digits than its factorization.

965972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34510 (or 34508 counting only the distinct ones).

The product of its digits is 34020, while the sum is 38.

The square root of 965972 is about 982.8387456750. The cubic root of 965972 is about 98.8526188485.

The spelling of 965972 in words is "nine hundred sixty-five thousand, nine hundred seventy-two".