537972 has 24 divisors (see below), whose sum is σ = 1268736. Its totient is φ = 177408.

The previous prime is 537941. The next prime is 537991. The reversal of 537972 is 279735.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

537972 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, 1348 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (52864).

2⁵³⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

537972 is an abundant number, since it is smaller than the sum of its proper divisors (730764).

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

537972 is a wasteful number, since it uses less digits than its factorization.

537972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its digits is 13230, while the sum is 33.

The square root of 537972 is about 733.4657456214. The cubic root of 537972 is about 81.3304591537.

The spelling of 537972 in words is "five hundred thirty-seven thousand, nine hundred seventy-two".