393152 has 14 divisors (see below), whose sum is σ = 780288. Its totient is φ = 196544.

The previous prime is 393143. The next prime is 393157. The reversal of 393152 is 251393.

It is a happy number.

It is a zygodrome in base 4.

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 393152.

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

393152 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, 3008 + ... + 3135.

2³⁹³¹⁵² is an apocalyptic number.

393152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

393152 is a deficient number, since it is larger than the sum of its proper divisors (387136).

393152 is an equidigital number, since it uses as much as digits as its factorization.

393152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6145 counting only the distinct ones).

The product of its digits is 810, while the sum is 23.

The square root of 393152 is about 627.0183410396. The cubic root of 393152 is about 73.2577366055.

Subtracting from 393152 its sum of digits (23), we obtain a square (393129 = 627²).

It can be divided in two parts, 393 and 152, that added together give a palindrome (545).

The spelling of 393152 in words is "three hundred ninety-three thousand, one hundred fifty-two".