382716 has 18 divisors (see below), whose sum is σ = 967512. Its totient is φ = 127560.

The previous prime is 382709. The next prime is 382727. The reversal of 382716 is 617283.

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 382716.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382716.

It is an unprimeable number.

382716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 5280 + ... + 5351.

2³⁸²⁷¹⁶ is an apocalyptic number.

382716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

382716 is an abundant number, since it is smaller than the sum of its proper divisors (584796).

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

382716 is a wasteful number, since it uses less digits than its factorization.

382716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10641 (or 10636 counting only the distinct ones).

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

The square root of 382716 is about 618.6404448466. The cubic root of 382716 is about 72.6037199560.

Adding to 382716 its reverse (617283), we get a palindrome (999999).

The spelling of 382716 in words is "three hundred eighty-two thousand, seven hundred sixteen".