972108 has 24 divisors (see below), whose sum is σ = 2520560. Its totient is φ = 324000.

The previous prime is 972091. The next prime is 972113. The reversal of 972108 is 801279.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 972108.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4393 + ... + 4608.

2⁹⁷²¹⁰⁸ is an apocalyptic number.

It is an amenable number.

972108 is an abundant number, since it is smaller than the sum of its proper divisors (1548452).

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

972108 is a wasteful number, since it uses less digits than its factorization.

972108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014 (or 9006 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 972108 is about 985.9553742437. The cubic root of 972108 is about 99.0614861390.

It can be divided in two parts, 972 and 108, that multiplied together give a 4-th power (104976 = 18⁴).

The spelling of 972108 in words is "nine hundred seventy-two thousand, one hundred eight".