387392 has 14 divisors (see below), whose sum is σ = 768858. Its totient is φ = 193664.

The previous prime is 387371. The next prime is 387397. The reversal of 387392 is 293783.

387392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 246016 + 141376 = 496^2 + 376^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 387392.

It is not an unprimeable number, because it can be changed into a prime (387397) by changing a digit.

387392 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 as a sum of consecutive naturals, namely, 2963 + ... + 3090.

2³⁸⁷³⁹² is an apocalyptic number.

387392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

387392 is a deficient number, since it is larger than the sum of its proper divisors (381466).

387392 is an equidigital number, since it uses as much as digits as its factorization.

387392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6065 (or 6055 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 387392 is about 622.4082261667. The cubic root of 387392 is about 72.8982130535.

The spelling of 387392 in words is "three hundred eighty-seven thousand, three hundred ninety-two".