927972 has 36 divisors (see below), whose sum is σ = 2375100. Its totient is φ = 305472.

The previous prime is 927967. The next prime is 927973. The reversal of 927972 is 279729.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 443556 = 696^2 + 666^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×927972² = 1722264065568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (927973) by changing a digit.

927972 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 11 ways as a sum of consecutive naturals, for example, 5278 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (65975).

2⁹²⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

927972 is an abundant number, since it is smaller than the sum of its proper divisors (1447128).

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

927972 is a wasteful number, since it uses less digits than its factorization.

927972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 327 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 927972 is about 963.3130332348. The cubic root of 927972 is about 97.5389982061.

The spelling of 927972 in words is "nine hundred twenty-seven thousand, nine hundred seventy-two".