825405 has 24 divisors (see below), whose sum is σ = 1537632. Its totient is φ = 376992.

The previous prime is 825403. The next prime is 825413. The reversal of 825405 is 504528.

825405 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 825405 - 2¹ = 825403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825403) 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, 174 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (64068).

2⁸²⁵⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

825405 is a deficient number, since it is larger than the sum of its proper divisors (712227).

825405 is a wasteful number, since it uses less digits than its factorization.

825405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 825405 is about 908.5180240369. The cubic root of 825405 is about 93.8042175277.

The spelling of 825405 in words is "eight hundred twenty-five thousand, four hundred five".