512972 has 12 divisors (see below), whose sum is σ = 903000. Its totient is φ = 254976.

The previous prime is 512959. The next prime is 512977. The reversal of 512972 is 279215.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (512977) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 779 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (75250).

2⁵¹²⁹⁷² is an apocalyptic number.

It is an amenable number.

512972 is a deficient number, since it is larger than the sum of its proper divisors (390028).

512972 is a wasteful number, since it uses less digits than its factorization.

512972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 512972 is about 716.2206363964. The cubic root of 512972 is about 80.0505929976.

The spelling of 512972 in words is "five hundred twelve thousand, nine hundred seventy-two".