382083 has 16 divisors (see below), whose sum is σ = 559776. Its totient is φ = 230400.

The previous prime is 382073. The next prime is 382087. The reversal of 382083 is 380283.

382083 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 382083 - 2¹⁴ = 365699 is a prime.

382083 is strictly pandigital in base 7.

382083 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 382083.

It is not an unprimeable number, because it can be changed into a prime (382087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3733 + ... + 3833.

It is an arithmetic number, because the mean of its divisors is an integer number (34986).

2³⁸²⁰⁸³ is an apocalyptic number.

382083 is a deficient number, since it is larger than the sum of its proper divisors (177693).

382083 is a wasteful number, since it uses less digits than its factorization.

382083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 382083 is about 618.1286273908. The cubic root of 382083 is about 72.5636697919.

The spelling of 382083 in words is "three hundred eighty-two thousand, eighty-three".