125737 has 2 divisors, whose sum is σ = 125738. Its totient is φ = 125736.

The previous prime is 125731. The next prime is 125743. The reversal of 125737 is 737521.

It is a balanced prime because it is at equal distance from previous prime (125731) and next prime (125743).

It can be written as a sum of positive squares in only one way, i.e., 114921 + 10816 = 339^2 + 104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-125737 is a prime.

125737 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (125731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62868 + 62869.

It is an arithmetic number, because the mean of its divisors is an integer number (62869).

2¹²⁵⁷³⁷ is an apocalyptic number.

It is an amenable number.

125737 is a deficient number, since it is larger than the sum of its proper divisors (1).

125737 is an equidigital number, since it uses as much as digits as its factorization.

125737 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1470, while the sum is 25.

The square root of 125737 is about 354.5941341872. The cubic root of 125737 is about 50.0980741700.

The spelling of 125737 in words is "one hundred twenty-five thousand, seven hundred thirty-seven".