972895 has 36 divisors (see below), whose sum is σ = 1563624. Its totient is φ = 574560.

The previous prime is 972887. The next prime is 972899. The reversal of 972895 is 598279.

It is not a de Polignac number, because 972895 - 2³ = 972887 is a prime.

It is an Ulam number.

Its product of digits (45360) is a multiple of the sum of its prime divisors (42).

972895 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51196 + ... + 51214.

It is an arithmetic number, because the mean of its divisors is an integer number (43434).

2⁹⁷²⁸⁹⁵ is an apocalyptic number.

972895 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

972895 is a deficient number, since it is larger than the sum of its proper divisors (590729).

972895 is a wasteful number, since it uses less digits than its factorization.

972895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its digits is 45360, while the sum is 40.

The square root of 972895 is about 986.3543987837. The cubic root of 972895 is about 99.0882116882.

It can be divided in two parts, 97 and 2895, that added together give a palindrome (2992).

The spelling of 972895 in words is "nine hundred seventy-two thousand, eight hundred ninety-five".