393156 has 36 divisors (see below), whose sum is σ = 1014832. Its totient is φ = 128304.

The previous prime is 393143. The next prime is 393157. The reversal of 393156 is 651393.

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393156.

It is not an unprimeable number, because it can be changed into a prime (393157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2331 + ... + 2493.

2³⁹³¹⁵⁶ is an apocalyptic number.

393156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507416).

393156 is an abundant number, since it is smaller than the sum of its proper divisors (621676).

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

393156 is a wasteful number, since it uses less digits than its factorization.

393156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 393156 is about 627.0215307308. The cubic root of 393156 is about 73.2579850505.

Subtracting from 393156 its sum of digits (27), we obtain a square (393129 = 627²).

The spelling of 393156 in words is "three hundred ninety-three thousand, one hundred fifty-six".