516972 has 24 divisors (see below), whose sum is σ = 1226176. Its totient is φ = 169488.

The previous prime is 516959. The next prime is 516973. The reversal of 516972 is 279615.

516972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (516973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483 + ... + 1125.

516972 is a Friedman number, since it can be written as 719^2+6+5, using all its digits and the basic arithmetic operations.

2⁵¹⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

516972 is an abundant number, since it is smaller than the sum of its proper divisors (709204).

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

516972 is a wasteful number, since it uses less digits than its factorization.

516972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 516972 is about 719.0076494725. The cubic root of 516972 is about 80.2581245838.

The spelling of 516972 in words is "five hundred sixteen thousand, nine hundred seventy-two".