382713 has 16 divisors (see below), whose sum is σ = 544320. Its totient is φ = 238784.

The previous prime is 382709. The next prime is 382727. The reversal of 382713 is 317283.

It is a cyclic number.

It is not a de Polignac number, because 382713 - 2² = 382709 is a prime.

Its product of digits (1008) is a multiple of the sum of its prime divisors (168).

382713 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382713.

It is not an unprimeable number, because it can be changed into a prime (382703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4570 + ... + 4652.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2³⁸²⁷¹³ is an apocalyptic number.

It is an amenable number.

382713 is a deficient number, since it is larger than the sum of its proper divisors (161607).

382713 is a wasteful number, since it uses less digits than its factorization.

382713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its digits is 1008, while the sum is 24.

The square root of 382713 is about 618.6380201701. The cubic root of 382713 is about 72.6035302490.

Adding to 382713 its reverse (317283), we get a palindrome (699996).

The spelling of 382713 in words is "three hundred eighty-two thousand, seven hundred thirteen".