137173409 has 2 divisors, whose sum is σ = 137173410. Its totient is φ = 137173408.

The previous prime is 137173363. The next prime is 137173411. The reversal of 137173409 is 904371731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100000000 + 37173409 = 10000^2 + 6097^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137173409 is a prime.

Together with 137173411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137173429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68586704 + 68586705.

It is an arithmetic number, because the mean of its divisors is an integer number (68586705).

Almost surely, 2^137173409 is an apocalyptic number.

It is an amenable number.

137173409 is a deficient number, since it is larger than the sum of its proper divisors (1).

137173409 is an equidigital number, since it uses as much as digits as its factorization.

137173409 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 137173409 is about 11712.1052334753. The cubic root of 137173409 is about 515.7310872209.

The spelling of 137173409 in words is "one hundred thirty-seven million, one hundred seventy-three thousand, four hundred nine".