392016 has 20 divisors (see below), whose sum is σ = 1012832. Its totient is φ = 130656.

The previous prime is 392011. The next prime is 392033. The reversal of 392016 is 610293.

It is a junction number, because it is equal to n+sod(n) for n = 391983 and 392001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392011) by changing a digit.

392016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4036 + ... + 4131.

2³⁹²⁰¹⁶ is an apocalyptic number.

It is an amenable number.

392016 is an abundant number, since it is smaller than the sum of its proper divisors (620816).

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

392016 is a wasteful number, since it uses less digits than its factorization.

392016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 392016 is about 626.1118111009. Note that the first 3 decimals coincide. The cubic root of 392016 is about 73.1871099164.

The spelling of 392016 in words is "three hundred ninety-two thousand, sixteen".