382833 has 16 divisors (see below), whose sum is σ = 619200. Its totient is φ = 231840.

The previous prime is 382813. The next prime is 382843. The reversal of 382833 is 338283.

It is not a de Polignac number, because 382833 - 2⁵ = 382801 is a prime.

It is a super-2 number, since 2×382833² = 293122211778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 382797 and 382806.

It is not an unprimeable number, because it can be changed into a prime (382813) 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, 348 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (38700).

2³⁸²⁸³³ is an apocalyptic number.

382833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

382833 is a deficient number, since it is larger than the sum of its proper divisors (236367).

382833 is a wasteful number, since it uses less digits than its factorization.

382833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 382833 is about 618.7349998182. The cubic root of 382833 is about 72.6111177564.

The spelling of 382833 in words is "three hundred eighty-two thousand, eight hundred thirty-three".