825465 has 16 divisors (see below), whose sum is σ = 1335168. Its totient is φ = 435456.

The previous prime is 825443. The next prime is 825467. The reversal of 825465 is 564528.

825465 = 23² + 24² + ... + 135².

825465 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 825465 - 2⁷ = 825337 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825467) 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, 1452 + ... + 1938.

It is an arithmetic number, because the mean of its divisors is an integer number (83448).

2⁸²⁵⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

825465 is a deficient number, since it is larger than the sum of its proper divisors (509703).

825465 is a wasteful number, since it uses less digits than its factorization.

825465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608.

The product of its digits is 9600, while the sum is 30.

The square root of 825465 is about 908.5510442457. The cubic root of 825465 is about 93.8064903985.

The spelling of 825465 in words is "eight hundred twenty-five thousand, four hundred sixty-five".