125337 has 8 divisors (see below), whose sum is σ = 171360. Its totient is φ = 81440.

The previous prime is 125329. The next prime is 125339. The reversal of 125337 is 733521.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125337 - 2³ = 125329 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125337.

It is not an unprimeable number, because it can be changed into a prime (125339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2¹²⁵³³⁷ is an apocalyptic number.

It is an amenable number.

125337 is a deficient number, since it is larger than the sum of its proper divisors (46023).

125337 is a wasteful number, since it uses less digits than its factorization.

125337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063.

The product of its digits is 630, while the sum is 21.

The square root of 125337 is about 354.0296597744. The cubic root of 125337 is about 50.0448930136.

Subtracting from 125337 its sum of digits (21), we obtain a square (125316 = 354²).

Adding to 125337 its reverse (733521), we get a palindrome (858858).

The spelling of 125337 in words is "one hundred twenty-five thousand, three hundred thirty-seven".