382356 has 72 divisors (see below), whose sum is σ = 1121120. Its totient is φ = 108864.

The previous prime is 382351. The next prime is 382357. The reversal of 382356 is 653283.

It is a super-2 number, since 2×382356² = 292392221472, which contains 22 as substring.

Its product of digits (4320) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382351) by changing a digit.

382356 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 23 ways as a sum of consecutive naturals, for example, 8871 + ... + 8913.

2³⁸²³⁵⁶ is an apocalyptic number.

382356 is a gapful number since it is divisible by the number (36) 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 382356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560560).

382356 is an abundant number, since it is smaller than the sum of its proper divisors (738764).

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

382356 is a wasteful number, since it uses less digits than its factorization.

382356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 80 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 382356 is about 618.3494157837. The cubic root of 382356 is about 72.5809480322.

The spelling of 382356 in words is "three hundred eighty-two thousand, three hundred fifty-six".