972765 has 12 divisors (see below), whose sum is σ = 1686204. Its totient is φ = 518784.

The previous prime is 972721. The next prime is 972787. The reversal of 972765 is 567279.

It can be written as a sum of positive squares in 2 ways, for example, as 257049 + 715716 = 507^2 + 846^2 .

It is not a de Polignac number, because 972765 - 2⁶ = 972701 is a prime.

972765 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972765.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10764 + ... + 10853.

It is an arithmetic number, because the mean of its divisors is an integer number (140517).

2⁹⁷²⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

972765 is a deficient number, since it is larger than the sum of its proper divisors (713439).

972765 is a wasteful number, since it uses less digits than its factorization.

972765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21628 (or 21625 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 972765 is about 986.2884973475. The cubic root of 972765 is about 99.0837980425.

The spelling of 972765 in words is "nine hundred seventy-two thousand, seven hundred sixty-five".