137713 has 2 divisors, whose sum is σ = 137714. Its totient is φ = 137712.

The previous prime is 137707. The next prime is 137723. The reversal of 137713 is 317731.

137713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 152-nd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 42849 = 308^2 + 207^2 .

It is an emirp because it is prime and its reverse (317731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137713 - 2⁹ = 137201 is a prime.

It is not a weakly prime, because it can be changed into another prime (137723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68856 + 68857.

It is an arithmetic number, because the mean of its divisors is an integer number (68857).

2¹³⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

137713 is a deficient number, since it is larger than the sum of its proper divisors (1).

137713 is an equidigital number, since it uses as much as digits as its factorization.

137713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 441, while the sum is 22.

The square root of 137713 is about 371.0970223540. The cubic root of 137713 is about 51.6406436184.

The spelling of 137713 in words is "one hundred thirty-seven thousand, seven hundred thirteen".