391392 has 60 divisors (see below), whose sum is σ = 1158696. Its totient is φ = 129600.

The previous prime is 391387. The next prime is 391393. The reversal of 391392 is 293193.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 391392.

It is not an unprimeable number, because it can be changed into a prime (391393) by changing a digit.

391392 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 9 ways as a sum of consecutive naturals, for example, 2517 + ... + 2667.

2³⁹¹³⁹² is an apocalyptic number.

391392 is a gapful number since it is divisible by the number (32) 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 391392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579348).

391392 is an abundant number, since it is smaller than the sum of its proper divisors (767304).

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

391392 is a wasteful number, since it uses less digits than its factorization.

391392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 391392 is about 625.6132990914. The cubic root of 391392 is about 73.1482569023.

It can be divided in two parts, 3913 and 92, that added together give a triangular number (4005 = T₈₉).

The spelling of 391392 in words is "three hundred ninety-one thousand, three hundred ninety-two".