137829017 has 2 divisors, whose sum is σ = 137829018. Its totient is φ = 137829016.

The previous prime is 137829001. The next prime is 137829019. The reversal of 137829017 is 710928731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134815321 + 3013696 = 11611^2 + 1736^2 .

It is a cyclic number.

It is not a de Polignac number, because 137829017 - 2⁴ = 137829001 is a prime.

Together with 137829019, 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 (137829019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68914508 + 68914509.

It is an arithmetic number, because the mean of its divisors is an integer number (68914509).

Almost surely, 2^137829017 is an apocalyptic number.

It is an amenable number.

137829017 is a deficient number, since it is larger than the sum of its proper divisors (1).

137829017 is an equidigital number, since it uses as much as digits as its factorization.

137829017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 137829017 is about 11740.0603490783. The cubic root of 137829017 is about 516.5514118682.

The spelling of 137829017 in words is "one hundred thirty-seven million, eight hundred twenty-nine thousand, seventeen".