125517 has 16 divisors (see below), whose sum is σ = 197120. Its totient is φ = 69552.

The previous prime is 125509. The next prime is 125527. The reversal of 125517 is 715521.

It is not a de Polignac number, because 125517 - 2³ = 125509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 125493 and 125502.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125517.

It is not an unprimeable number, because it can be changed into a prime (125507) 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, 834 + ... + 972.

It is an arithmetic number, because the mean of its divisors is an integer number (12320).

2¹²⁵⁵¹⁷ is an apocalyptic number.

It is an amenable number.

125517 is a deficient number, since it is larger than the sum of its proper divisors (71603).

125517 is a wasteful number, since it uses less digits than its factorization.

125517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its digits is 350, while the sum is 21.

The square root of 125517 is about 354.2837845570. The cubic root of 125517 is about 50.0688385150.

The spelling of 125517 in words is "one hundred twenty-five thousand, five hundred seventeen".