125617 has 2 divisors, whose sum is σ = 125618. Its totient is φ = 125616.

The previous prime is 125597. The next prime is 125621. The reversal of 125617 is 716521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78961 + 46656 = 281^2 + 216^2 .

It is a cyclic number.

It is not a de Polignac number, because 125617 - 2¹⁵ = 92849 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62808 + 62809.

It is an arithmetic number, because the mean of its divisors is an integer number (62809).

2¹²⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

125617 is a deficient number, since it is larger than the sum of its proper divisors (1).

125617 is an equidigital number, since it uses as much as digits as its factorization.

125617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 420, while the sum is 22.

The square root of 125617 is about 354.4248862594. The cubic root of 125617 is about 50.0821316805.

The spelling of 125617 in words is "one hundred twenty-five thousand, six hundred seventeen".