656125 has 16 divisors (see below), whose sum is σ = 851760. Its totient is φ = 504000.

The previous prime is 656119. The next prime is 656129. The reversal of 656125 is 521656.

656125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 423801 + 232324 = 651^2 + 482^2 .

It is not a de Polignac number, because 656125 - 2¹⁹ = 131837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an alternating number because its digits alternate between even and odd.

Its product of digits (1800) is a multiple of the sum of its prime factors (225).

It is a self number, because there is not a number n which added to its sum of digits gives 656125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656129) 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, 3535 + ... + 3715.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2⁶⁵⁶¹²⁵ is an apocalyptic number.

It is an amenable number.

656125 is a deficient number, since it is larger than the sum of its proper divisors (195635).

656125 is a wasteful number, since it uses less digits than its factorization.

656125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its digits is 1800, while the sum is 25.

The square root of 656125 is about 810.0154319518. The cubic root of 656125 is about 86.8951482692.

Subtracting from 656125 its sum of digits (25), we obtain a square (656100 = 810²).

It can be divided in two parts, 6561 and 25, that multiplied together give a square (164025 = 405²).

The spelling of 656125 in words is "six hundred fifty-six thousand, one hundred twenty-five".