125029 has 2 divisors, whose sum is σ = 125030. Its totient is φ = 125028.

The previous prime is 125017. The next prime is 125053. The reversal of 125029 is 920521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 16129 = 330^2 + 127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-125029 is a prime.

It is equal to p₁₁₇₃₇ and since 125029 and 11737 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 = 124997 and 125015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62514 + 62515.

It is an arithmetic number, because the mean of its divisors is an integer number (62515).

125029 is a Friedman number, since it can be written as 50^(2+1)+29, using all its digits and the basic arithmetic operations.

2¹²⁵⁰²⁹ is an apocalyptic number.

It is an amenable number.

125029 is a deficient number, since it is larger than the sum of its proper divisors (1).

125029 is an equidigital number, since it uses as much as digits as its factorization.

125029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 125029 is about 353.5944004082. The cubic root of 125029 is about 50.0038663677.

It can be divided in two parts, 12 and 5029, that added together give a square (5041 = 71²).

The spelling of 125029 in words is "one hundred twenty-five thousand, twenty-nine".