825933 has 16 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 521520.

The previous prime is 825919. The next prime is 825947. The reversal of 825933 is 339528.

It is a happy number.

825933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (825919) and next prime (825947).

It is not a de Polignac number, because 825933 - 2⁹ = 825421 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825983) 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, 7666 + ... + 7772.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

2⁸²⁵⁹³³ is an apocalyptic number.

825933 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

825933 is a deficient number, since it is larger than the sum of its proper divisors (335283).

825933 is a wasteful number, since it uses less digits than its factorization.

825933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224.

The product of its digits is 6480, while the sum is 30.

The square root of 825933 is about 908.8085606991. The cubic root of 825933 is about 93.8242150117.

The spelling of 825933 in words is "eight hundred twenty-five thousand, nine hundred thirty-three".