137933 has 2 divisors, whose sum is σ = 137934. Its totient is φ = 137932.

The previous prime is 137927. The next prime is 137941. The reversal of 137933 is 339731.

137933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131044 + 6889 = 362^2 + 83^2 .

It is a cyclic number.

It is not a de Polignac number, because 137933 - 2⁶ = 137869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68966 + 68967.

It is an arithmetic number, because the mean of its divisors is an integer number (68967).

2¹³⁷⁹³³ is an apocalyptic number.

It is an amenable number.

137933 is a deficient number, since it is larger than the sum of its proper divisors (1).

137933 is an equidigital number, since it uses as much as digits as its factorization.

137933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1701, while the sum is 26.

The square root of 137933 is about 371.3933225032. The cubic root of 137933 is about 51.6681280660.

The spelling of 137933 in words is "one hundred thirty-seven thousand, nine hundred thirty-three".