396132 has 24 divisors (see below), whose sum is σ = 1008672. Its totient is φ = 120000.

The previous prime is 396119. The next prime is 396157. The reversal of 396132 is 231693.

It is a super-2 number, since 2×396132² = 313841122848, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396132.

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, 1369 + ... + 1632.

It is an arithmetic number, because the mean of its divisors is an integer number (42028).

2³⁹⁶¹³² is an apocalyptic number.

It is an amenable number.

396132 is an abundant number, since it is smaller than the sum of its proper divisors (612540).

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

396132 is a wasteful number, since it uses less digits than its factorization.

396132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3017 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 396132 is about 629.3901810483. The cubic root of 396132 is about 73.4423630701.

It can be divided in two parts, 3961 and 32, that added together give a palindrome (3993).

The spelling of 396132 in words is "three hundred ninety-six thousand, one hundred thirty-two".