125537 has 4 divisors (see below), whose sum is σ = 128256. Its totient is φ = 122820.

The previous prime is 125527. The next prime is 125539. The reversal of 125537 is 735521.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 735521 = 151 ⋅4871.

It is a cyclic number.

It is not a de Polignac number, because 125537 - 2¹⁰ = 124513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125539) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1289 + ... + 1382.

It is an arithmetic number, because the mean of its divisors is an integer number (32064).

2¹²⁵⁵³⁷ is an apocalyptic number.

It is an amenable number.

125537 is a deficient number, since it is larger than the sum of its proper divisors (2719).

125537 is an equidigital number, since it uses as much as digits as its factorization.

125537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718.

The product of its digits is 1050, while the sum is 23.

The square root of 125537 is about 354.3120093929. The cubic root of 125537 is about 50.0714977128.

The spelling of 125537 in words is "one hundred twenty-five thousand, five hundred thirty-seven".