905825 has 12 divisors (see below), whose sum is σ = 1182960. Its totient is φ = 686160.

The previous prime is 905819. The next prime is 905833. The reversal of 905825 is 528509.

905825 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 905825 - 2⁶ = 905761 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 905825.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (98580).

2⁹⁰⁵⁸²⁵ is an apocalyptic number.

905825 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

905825 is a deficient number, since it is larger than the sum of its proper divisors (277135).

905825 is a wasteful number, since it uses less digits than its factorization.

905825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 905825 is about 951.7483911203. The cubic root of 905825 is about 96.7567860864.

The spelling of 905825 in words is "nine hundred five thousand, eight hundred twenty-five".