825705 has 24 divisors (see below), whose sum is σ = 1460160. Its totient is φ = 431520.

The previous prime is 825701. The next prime is 825709. The reversal of 825705 is 507528.

It is a happy number.

825705 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 (825701) and next prime (825709).

It is not a de Polignac number, because 825705 - 2² = 825701 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 8² + 2¹¹ + 7⁷ + 5² + 0 + 5² .

It is a Curzon number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (825701) 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, 2500 + ... + 2810.

It is an arithmetic number, because the mean of its divisors is an integer number (60840).

2⁸²⁵⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

825705 is a deficient number, since it is larger than the sum of its proper divisors (634455).

825705 is a wasteful number, since it uses less digits than its factorization.

825705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 825705 is about 908.6831130818. The cubic root of 825705 is about 93.8155807804.

The spelling of 825705 in words is "eight hundred twenty-five thousand, seven hundred five".