653825 has 6 divisors (see below), whose sum is σ = 810774. Its totient is φ = 523040.

The previous prime is 653819. The next prime is 653831. The reversal of 653825 is 528356.

It is an interprime number because it is at equal distance from previous prime (653819) and next prime (653831).

It can be written as a sum of positive squares in 3 ways, for example, as 961 + 652864 = 31^2 + 808^2 .

It is not a de Polignac number, because 653825 - 2⁶ = 653761 is a prime.

It is a Duffinian number.

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 653825.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13052 + ... + 13101.

It is an arithmetic number, because the mean of its divisors is an integer number (135129).

2⁶⁵³⁸²⁵ is an apocalyptic number.

It is an amenable number.

653825 is a deficient number, since it is larger than the sum of its proper divisors (156949).

653825 is a wasteful number, since it uses less digits than its factorization.

653825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26163 (or 26158 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 653825 is about 808.5944595408. The cubic root of 653825 is about 86.7934944546.

Subtracting from 653825 its sum of digits (29), we obtain a triangular number (653796 = T₁₁₄₃).

The spelling of 653825 in words is "six hundred fifty-three thousand, eight hundred twenty-five".