972888 has 32 divisors (see below), whose sum is σ = 2780160. Its totient is φ = 277920.

The previous prime is 972887. The next prime is 972899. The reversal of 972888 is 888279.

It is a happy number.

972888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×972888² = 1893022121088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2728 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (86880).

2⁹⁷²⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

972888 is an abundant number, since it is smaller than the sum of its proper divisors (1807272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

972888 is a wasteful number, since it uses less digits than its factorization.

972888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5803 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 972888 is about 986.3508503570. The cubic root of 972888 is about 99.0879740403.

The spelling of 972888 in words is "nine hundred seventy-two thousand, eight hundred eighty-eight".