137431097 has 2 divisors, whose sum is σ = 137431098. Its totient is φ = 137431096.

The previous prime is 137431081. The next prime is 137431157. The reversal of 137431097 is 790134731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86508601 + 50922496 = 9301^2 + 7136^2 .

It is an emirp because it is prime and its reverse (790134731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137431097 - 2⁴ = 137431081 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137431297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68715548 + 68715549.

It is an arithmetic number, because the mean of its divisors is an integer number (68715549).

Almost surely, 2^137431097 is an apocalyptic number.

It is an amenable number.

137431097 is a deficient number, since it is larger than the sum of its proper divisors (1).

137431097 is an equidigital number, since it uses as much as digits as its factorization.

137431097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 137431097 is about 11723.1009976030. The cubic root of 137431097 is about 516.0538285391.

The spelling of 137431097 in words is "one hundred thirty-seven million, four hundred thirty-one thousand, ninety-seven".