393162 has 64 divisors (see below), whose sum is σ = 1050624. Its totient is φ = 95040.

The previous prime is 393161. The next prime is 393181. The reversal of 393162 is 261393.

It is not an unprimeable number, because it can be changed into a prime (393161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10608 + ... + 10644.

It is an arithmetic number, because the mean of its divisors is an integer number (16416).

393162 is a Friedman number, since it can be written as ((3+1)^2^3-9)*6, using all its digits and the basic arithmetic operations.

2³⁹³¹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525312).

393162 is an abundant number, since it is smaller than the sum of its proper divisors (657462).

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

393162 is a wasteful number, since it uses less digits than its factorization.

393162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83.

The product of its digits is 972, while the sum is 24.

The square root of 393162 is about 627.0263152372. The cubic root of 393162 is about 73.2583577149.

Subtracting from 393162 its reverse (261393), we obtain a square (131769 = 363²).

It can be divided in two parts, 3931 and 62, that added together give a palindrome (3993).

The spelling of 393162 in words is "three hundred ninety-three thousand, one hundred sixty-two".