137321593 has 2 divisors, whose sum is σ = 137321594. Its totient is φ = 137321592.

The previous prime is 137321581. The next prime is 137321617. The reversal of 137321593 is 395123731.

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., 135210384 + 2111209 = 11628^2 + 1453^2 .

It is a cyclic number.

It is not a de Polignac number, because 137321593 - 2⁹ = 137321081 is a prime.

It is not a weakly prime, because it can be changed into another prime (137321573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68660796 + 68660797.

It is an arithmetic number, because the mean of its divisors is an integer number (68660797).

Almost surely, 2^137321593 is an apocalyptic number.

It is an amenable number.

137321593 is a deficient number, since it is larger than the sum of its proper divisors (1).

137321593 is an equidigital number, since it uses as much as digits as its factorization.

137321593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17010, while the sum is 34.

The square root of 137321593 is about 11718.4296302875. The cubic root of 137321593 is about 515.9167295971.

The spelling of 137321593 in words is "one hundred thirty-seven million, three hundred twenty-one thousand, five hundred ninety-three".