509972 has 6 divisors (see below), whose sum is σ = 892458. Its totient is φ = 254984.

The previous prime is 509963. The next prime is 509989. The reversal of 509972 is 279905.

It can be written as a sum of positive squares in only one way, i.e., 454276 + 55696 = 674^2 + 236^2 .

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 509972.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63743 + ... + 63750.

It is an arithmetic number, because the mean of its divisors is an integer number (148743).

2⁵⁰⁹⁹⁷² is an apocalyptic number.

It is an amenable number.

509972 is a deficient number, since it is larger than the sum of its proper divisors (382486).

509972 is a wasteful number, since it uses less digits than its factorization.

509972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127497 (or 127495 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 509972 is about 714.1232386640. The cubic root of 509972 is about 79.8942352343.

The spelling of 509972 in words is "five hundred nine thousand, nine hundred seventy-two".