137393 has 2 divisors, whose sum is σ = 137394. Its totient is φ = 137392.

The previous prime is 137387. The next prime is 137399. The reversal of 137393 is 393731.

It is a balanced prime because it is at equal distance from previous prime (137387) and next prime (137399).

It can be written as a sum of positive squares in only one way, i.e., 134689 + 2704 = 367^2 + 52^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137393 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68696 + 68697.

It is an arithmetic number, because the mean of its divisors is an integer number (68697).

2¹³⁷³⁹³ is an apocalyptic number.

It is an amenable number.

137393 is a deficient number, since it is larger than the sum of its proper divisors (1).

137393 is an equidigital number, since it uses as much as digits as its factorization.

137393 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 137393 is about 370.6656175045. The cubic root of 137393 is about 51.6006139382.

The spelling of 137393 in words is "one hundred thirty-seven thousand, three hundred ninety-three".