825955 has 16 divisors (see below), whose sum is σ = 1086624. Its totient is φ = 599040.

The previous prime is 825947. The next prime is 825959. The reversal of 825955 is 559528.

825955 = T₁₈₆ + T₁₈₇ + ... + T₂₂₄.

825955 is nontrivially palindromic in base 4.

825955 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 825955 - 2³ = 825947 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 825955.

It is not an unprimeable number, because it can be changed into a prime (825959) 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, 6240 + ... + 6370.

It is an arithmetic number, because the mean of its divisors is an integer number (67914).

2⁸²⁵⁹⁵⁵ is an apocalyptic number.

825955 is a deficient number, since it is larger than the sum of its proper divisors (260669).

825955 is a wasteful number, since it uses less digits than its factorization.

825955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its digits is 18000, while the sum is 34.

The square root of 825955 is about 908.8206643777. The cubic root of 825955 is about 93.8250480552.

The spelling of 825955 in words is "eight hundred twenty-five thousand, nine hundred fifty-five".