382761 has 12 divisors (see below), whose sum is σ = 561600. Its totient is φ = 251160.

The previous prime is 382751. The next prime is 382763. The reversal of 382761 is 167283.

It is not a de Polignac number, because 382761 - 2⁵ = 382729 is a prime.

382761 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382763) 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 11 ways as a sum of consecutive naturals, for example, 340 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (46800).

2³⁸²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

382761 is a deficient number, since it is larger than the sum of its proper divisors (178839).

382761 is a wasteful number, since it uses less digits than its factorization.

382761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 673 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 382761 is about 618.6768138536. The cubic root of 382761 is about 72.6065654423.

The spelling of 382761 in words is "three hundred eighty-two thousand, seven hundred sixty-one".