825870 has 16 divisors (see below), whose sum is σ = 1982160. Its totient is φ = 220224.

The previous prime is 825857. The next prime is 825883. The reversal of 825870 is 78528.

It is an interprime number because it is at equal distance from previous prime (825857) and next prime (825883).

It is a super-2 number, since 2×825870² = 1364122513800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 27529 = 825870 / (8 + 2 + 5 + 8 + 7 + 0).

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 825870.

It is an unprimeable number.

825870 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 7 ways as a sum of consecutive naturals, for example, 13735 + ... + 13794.

It is an arithmetic number, because the mean of its divisors is an integer number (123885).

2⁸²⁵⁸⁷⁰ is an apocalyptic number.

825870 is an abundant number, since it is smaller than the sum of its proper divisors (1156290).

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

825870 is a wasteful number, since it uses less digits than its factorization.

825870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27539.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 825870 is about 908.7738992731. The cubic root of 825870 is about 93.8218293961.

It can be divided in two parts, 8 and 25870, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 825870 in words is "eight hundred twenty-five thousand, eight hundred seventy".