975872 has 22 divisors (see below), whose sum is σ = 1952838. Its totient is φ = 487424.

The previous prime is 975869. The next prime is 975883. The reversal of 975872 is 278579.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 173056 = 896^2 + 416^2 .

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 975872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 548 + ... + 1500.

2⁹⁷⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976419).

975872 is an abundant number, since it is smaller than the sum of its proper divisors (976966).

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

975872 is an equidigital number, since it uses as much as digits as its factorization.

975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 955 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 975872 is about 987.8623385877. The cubic root of 975872 is about 99.1891767588.

The spelling of 975872 in words is "nine hundred seventy-five thousand, eight hundred seventy-two".