855972 has 72 divisors (see below), whose sum is σ = 2446080. Its totient is φ = 250560.

The previous prime is 855947. The next prime is 855983. The reversal of 855972 is 279558.

855972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

855972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14479 + ... + 14537.

2⁸⁵⁵⁹⁷² 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 855972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223040).

855972 is an abundant number, since it is smaller than the sum of its proper divisors (1590108).

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

855972 is a wasteful number, since it uses less digits than its factorization.

855972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 855972 is about 925.1875485543. The cubic root of 855972 is about 94.9481526877.

The spelling of 855972 in words is "eight hundred fifty-five thousand, nine hundred seventy-two".