825775 has 24 divisors (see below), whose sum is σ = 1138320. Its totient is φ = 591360.

The previous prime is 825763. The next prime is 825779. The reversal of 825775 is 577528.

It is not a de Polignac number, because 825775 - 2⁷ = 825647 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12292 + ... + 12358.

It is an arithmetic number, because the mean of its divisors is an integer number (47430).

2⁸²⁵⁷⁷⁵ is an apocalyptic number.

825775 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

825775 is a deficient number, since it is larger than the sum of its proper divisors (312545).

825775 is a wasteful number, since it uses less digits than its factorization.

825775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 118 counting only the distinct ones).

The product of its digits is 19600, while the sum is 34.

The square root of 825775 is about 908.7216295434. The cubic root of 825775 is about 93.8182318099.

It can be divided in two parts, 825 and 775, that added together give a square (1600 = 40²).

The spelling of 825775 in words is "eight hundred twenty-five thousand, seven hundred seventy-five".