972885 has 16 divisors (see below), whose sum is σ = 1578240. Its totient is φ = 511680.

The previous prime is 972869. The next prime is 972887. The reversal of 972885 is 588279.

It is not a de Polignac number, because 972885 - 2⁴ = 972869 is a prime.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972887) 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 15 ways as a sum of consecutive naturals, for example, 775 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (98640).

2⁹⁷²⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

972885 is a deficient number, since it is larger than the sum of its proper divisors (605355).

972885 is a wasteful number, since it uses less digits than its factorization.

972885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908.

The product of its digits is 40320, while the sum is 39.

The square root of 972885 is about 986.3493295988. The cubic root of 972885 is about 99.0878721909.

The spelling of 972885 in words is "nine hundred seventy-two thousand, eight hundred eighty-five".