125117 has 2 divisors, whose sum is σ = 125118. Its totient is φ = 125116.

The previous prime is 125113. The next prime is 125119. The reversal of 125117 is 711521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116281 + 8836 = 341^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 125117 - 2² = 125113 is a prime.

Together with 125119, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₁₁₇₄₄ and since 125117 and 11744 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 125095 and 125104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62558 + 62559.

It is an arithmetic number, because the mean of its divisors is an integer number (62559).

2¹²⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

125117 is a deficient number, since it is larger than the sum of its proper divisors (1).

125117 is an equidigital number, since it uses as much as digits as its factorization.

125117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70, while the sum is 17.

The square root of 125117 is about 353.7188148798. The cubic root of 125117 is about 50.0155951353.

Adding to 125117 its reverse (711521), we get a palindrome (836638).

It can be divided in two parts, 125 and 117, that added together give a palindrome (242).

The spelling of 125117 in words is "one hundred twenty-five thousand, one hundred seventeen".