125564 has 6 divisors (see below), whose sum is σ = 219744. Its totient is φ = 62780.

The previous prime is 125551. The next prime is 125591. The reversal of 125564 is 465521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15692 + ... + 15699.

It is an arithmetic number, because the mean of its divisors is an integer number (36624).

2¹²⁵⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

125564 is a deficient number, since it is larger than the sum of its proper divisors (94180).

125564 is a wasteful number, since it uses less digits than its factorization.

125564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31395 (or 31393 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 125564 is about 354.3501093551. The cubic root of 125564 is about 50.0750871819.

It can be divided in two parts, 125 and 564, that multiplied together give a triangular number (70500 = T₃₇₅).

The spelling of 125564 in words is "one hundred twenty-five thousand, five hundred sixty-four".