846972 has 36 divisors (see below), whose sum is σ = 2447536. Its totient is φ = 241920.

The previous prime is 846961. The next prime is 846973. The reversal of 846972 is 279648.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846973) by changing a digit.

846972 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 11 ways as a sum of consecutive naturals, for example, 1429 + ... + 1932.

2⁸⁴⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

846972 is an abundant number, since it is smaller than the sum of its proper divisors (1600564).

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

846972 is a wasteful number, since it uses less digits than its factorization.

846972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3373 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 846972 is about 920.3108170613. The cubic root of 846972 is about 94.6142064253.

It can be divided in two parts, 84 and 6972, that added together give a square (7056 = 84²).

The spelling of 846972 in words is "eight hundred forty-six thousand, nine hundred seventy-two".