306972 has 18 divisors (see below), whose sum is σ = 776048. Its totient is φ = 102312.

The previous prime is 306953. The next prime is 306991. The reversal of 306972 is 279603.

It is an interprime number because it is at equal distance from previous prime (306953) and next prime (306991).

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

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 306972.

It is an unprimeable number.

306972 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 5 ways as a sum of consecutive naturals, for example, 4228 + ... + 4299.

2³⁰⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

306972 is an abundant number, since it is smaller than the sum of its proper divisors (469076).

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

306972 is a wasteful number, since it uses less digits than its factorization.

306972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8537 (or 8532 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 306972 is about 554.0505392110. The cubic root of 306972 is about 67.4579161545.

Subtracting from 306972 its product of nonzero digits (2268), we obtain a square (304704 = 552²).

The spelling of 306972 in words is "three hundred six thousand, nine hundred seventy-two".