125933 has 2 divisors, whose sum is σ = 125934. Its totient is φ = 125932.

The previous prime is 125929. The next prime is 125941. The reversal of 125933 is 339521.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94249 + 31684 = 307^2 + 178^2 .

It is a cyclic number.

It is not a de Polignac number, because 125933 - 2² = 125929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125899 and 125908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62966 + 62967.

It is an arithmetic number, because the mean of its divisors is an integer number (62967).

2¹²⁵⁹³³ is an apocalyptic number.

It is an amenable number.

125933 is a deficient number, since it is larger than the sum of its proper divisors (1).

125933 is an equidigital number, since it uses as much as digits as its factorization.

125933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 23.

The square root of 125933 is about 354.8703988782. The cubic root of 125933 is about 50.1240917699.

The spelling of 125933 in words is "one hundred twenty-five thousand, nine hundred thirty-three".