792825 has 36 divisors (see below), whose sum is σ = 1477584. Its totient is φ = 372000.

The previous prime is 792821. The next prime is 792871. The reversal of 792825 is 528297.

792825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 792825 - 2² = 792821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

792825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (792821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25560 + ... + 25590.

It is an arithmetic number, because the mean of its divisors is an integer number (41044).

2⁷⁹²⁸²⁵ is an apocalyptic number.

792825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

792825 is a deficient number, since it is larger than the sum of its proper divisors (684759).

792825 is a wasteful number, since it uses less digits than its factorization.

792825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 792825 is about 890.4072102134. The cubic root of 792825 is about 92.5534144869.

Multiplying 792825 by its sum of digits (33), we get a square (26163225 = 5115²).

792825 divided by its sum of digits (33) gives a square (24025 = 155²).

The spelling of 792825 in words is "seven hundred ninety-two thousand, eight hundred twenty-five".