972965 has 8 divisors (see below), whose sum is σ = 1334400. Its totient is φ = 667152.

The previous prime is 972943. The next prime is 972967. The reversal of 972965 is 569279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972965 - 2⁶ = 972901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13865 + ... + 13934.

It is an arithmetic number, because the mean of its divisors is an integer number (166800).

2⁹⁷²⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

972965 is a deficient number, since it is larger than the sum of its proper divisors (361435).

972965 is a wasteful number, since it uses less digits than its factorization.

972965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27811.

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

The square root of 972965 is about 986.3898823488. The cubic root of 972965 is about 99.0905881037.

The spelling of 972965 in words is "nine hundred seventy-two thousand, nine hundred sixty-five".