393972 has 12 divisors (see below), whose sum is σ = 919296. Its totient is φ = 131320.

The previous prime is 393961. The next prime is 393977. The reversal of 393972 is 279393.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393977) by changing a digit.

393972 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 3 ways as a sum of consecutive naturals, for example, 16404 + ... + 16427.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

2³⁹³⁹⁷² is an apocalyptic number.

It is an amenable number.

393972 is an abundant number, since it is smaller than the sum of its proper divisors (525324).

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

393972 is a wasteful number, since it uses less digits than its factorization.

393972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32838 (or 32836 counting only the distinct ones).

The product of its digits is 10206, while the sum is 33.

The square root of 393972 is about 627.6718888082. The cubic root of 393972 is about 73.3086326361.

The spelling of 393972 in words is "three hundred ninety-three thousand, nine hundred seventy-two".