392112 has 60 divisors (see below), whose sum is σ = 1257360. Its totient is φ = 111744.

The previous prime is 392111. The next prime is 392113. The reversal of 392112 is 211293.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (392111) and next prime (392113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (392111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 814 + ... + 1202.

It is an arithmetic number, because the mean of its divisors is an integer number (20956).

2³⁹²¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628680).

392112 is an abundant number, since it is smaller than the sum of its proper divisors (865248).

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

392112 is a wasteful number, since it uses less digits than its factorization.

392112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 392112 is about 626.1884700312. The cubic root of 392112 is about 73.1930836429.

The spelling of 392112 in words is "three hundred ninety-two thousand, one hundred twelve".