540972 has 24 divisors (see below), whose sum is σ = 1402800. Its totient is φ = 180288.

The previous prime is 540961. The next prime is 540989. The reversal of 540972 is 279045.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

540972 is a modest number, since divided by 972 gives 540 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2397 + ... + 2612.

It is an arithmetic number, because the mean of its divisors is an integer number (58450).

2⁵⁴⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

540972 is an abundant number, since it is smaller than the sum of its proper divisors (861828).

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

540972 is a wasteful number, since it uses less digits than its factorization.

540972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 540972 is about 735.5079877201. The cubic root of 540972 is about 81.4813587285.

The spelling of 540972 in words is "five hundred forty thousand, nine hundred seventy-two".