612972 has 18 divisors (see below), whose sum is σ = 1549548. Its totient is φ = 204312.

The previous prime is 612971. The next prime is 612977. The reversal of 612972 is 279216.

612972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

612972 is a modest number, since divided by 972 gives 612 as remainder.

It is not an unprimeable number, because it can be changed into a prime (612971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8478 + ... + 8549.

It is an arithmetic number, because the mean of its divisors is an integer number (86086).

2⁶¹²⁹⁷² is an apocalyptic number.

It is an amenable number.

612972 is an abundant number, since it is smaller than the sum of its proper divisors (936576).

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

612972 is a wasteful number, since it uses less digits than its factorization.

612972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17037 (or 17032 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 612972 is about 782.9252837915. The cubic root of 612972 is about 84.9467717496.

The spelling of 612972 in words is "six hundred twelve thousand, nine hundred seventy-two".