382536 has 128 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 95040.

The previous prime is 382519. The next prime is 382541. The reversal of 382536 is 635283.

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

It is a congruent number.

It is an unprimeable number.

382536 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 31 ways as a sum of consecutive naturals, for example, 16621 + ... + 16643.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2³⁸²⁵³⁶ is an apocalyptic number.

382536 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 382536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

382536 is an abundant number, since it is smaller than the sum of its proper divisors (999864).

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

382536 is a wasteful number, since it uses less digits than its factorization.

382536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

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

The square root of 382536 is about 618.4949474329. The cubic root of 382536 is about 72.5923357800.

The spelling of 382536 in words is "three hundred eighty-two thousand, five hundred thirty-six".