382772 has 24 divisors (see below), whose sum is σ = 765576. Its totient is φ = 165888.

The previous prime is 382769. The next prime is 382777. The reversal of 382772 is 277283.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 376996 = 76^2 + 614^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (31899).

2³⁸²⁷⁷² is an apocalyptic number.

It is an amenable number.

382772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

382772 is a wasteful number, since it uses less digits than its factorization.

382772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 382772 is about 618.6857037301. The cubic root of 382772 is about 72.6072609717.

The spelling of 382772 in words is "three hundred eighty-two thousand, seven hundred seventy-two".