125584 has 20 divisors (see below), whose sum is σ = 249984. Its totient is φ = 61088.

The previous prime is 125551. The next prime is 125591. The reversal of 125584 is 485521.

125584 = T₄₇ + T₄₈ + ... + T₉₄.

It is an unprimeable number.

125584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 669 + ... + 835.

2¹²⁵⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

125584 is a deficient number, since it is larger than the sum of its proper divisors (124400).

125584 is a wasteful number, since it uses less digits than its factorization.

125584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its digits is 1600, while the sum is 25.

The square root of 125584 is about 354.3783289085. The cubic root of 125584 is about 50.0777457161.

The spelling of 125584 in words is "one hundred twenty-five thousand, five hundred eighty-four".