833382 has 64 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 237600.

The previous prime is 833377. The next prime is 833389. The reversal of 833382 is 283338.

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

It is a nialpdrome in base 16.

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 833382.

It is not an unprimeable number, because it can be changed into a prime (833389) by changing a digit.

833382 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13632 + ... + 13692.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2⁸³³³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360).

833382 is an abundant number, since it is smaller than the sum of its proper divisors (1309338).

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

833382 is a wasteful number, since it uses less digits than its factorization.

833382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

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

The square root of 833382 is about 912.8975846172. The cubic root of 833382 is about 94.1054347359.

The spelling of 833382 in words is "eight hundred thirty-three thousand, three hundred eighty-two".