972365 has 8 divisors (see below), whose sum is σ = 1177848. Its totient is φ = 770560.

The previous prime is 972353. The next prime is 972373. The reversal of 972365 is 563279.

It can be written as a sum of positive squares in 4 ways, for example, as 13924 + 958441 = 118^2 + 979^2 .

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

It is not a de Polignac number, because 972365 - 2¹⁸ = 710221 is a prime.

It is a Duffinian 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 972365.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (147231).

2⁹⁷²³⁶⁵ is an apocalyptic number.

It is an amenable number.

972365 is a deficient number, since it is larger than the sum of its proper divisors (205483).

972365 is a wasteful number, since it uses less digits than its factorization.

972365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839.

The product of its digits is 11340, while the sum is 32.

The square root of 972365 is about 986.0856960731. The cubic root of 972365 is about 99.0702151275.

The spelling of 972365 in words is "nine hundred seventy-two thousand, three hundred sixty-five".