973872 has 30 divisors (see below), whose sum is σ = 2725892. Its totient is φ = 324576.

The previous prime is 973853. The next prime is 973891. The reversal of 973872 is 278379.

973872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (973853) and next prime (973891).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3238 + ... + 3525.

2⁹⁷³⁸⁷² is an apocalyptic number.

It is an amenable number.

973872 is an abundant number, since it is smaller than the sum of its proper divisors (1752020).

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

973872 is a wasteful number, since it uses less digits than its factorization.

973872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777 (or 6768 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 973872 is about 986.8495326036. The cubic root of 973872 is about 99.1213693585.

It can be divided in two parts, 97 and 3872, that added together give a square (3969 = 63²).

The spelling of 973872 in words is "nine hundred seventy-three thousand, eight hundred seventy-two".