517972 has 24 divisors (see below), whose sum is σ = 1116416. Its totient is φ = 204768.

The previous prime is 517967. The next prime is 517981. The reversal of 517972 is 279715.

It is a congruent number.

It is an unprimeable number.

517972 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 7 ways as a sum of consecutive naturals, for example, 348 + ... + 1075.

2⁵¹⁷⁹⁷² is an apocalyptic number.

517972 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

517972 is an abundant number, since it is smaller than the sum of its proper divisors (598444).

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

517972 is a wasteful number, since it uses less digits than its factorization.

517972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1445 counting only the distinct ones).

The product of its digits is 4410, while the sum is 31.

The square root of 517972 is about 719.7027164045. The cubic root of 517972 is about 80.3098401063.

The spelling of 517972 in words is "five hundred seventeen thousand, nine hundred seventy-two".