137825617 has 2 divisors, whose sum is σ = 137825618. Its totient is φ = 137825616.

The previous prime is 137825587. The next prime is 137825671. The reversal of 137825617 is 716528731.

Together with next prime (137825671) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135466321 + 2359296 = 11639^2 + 1536^2 .

It is a cyclic number.

It is not a de Polignac number, because 137825617 - 2¹⁵ = 137792849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137825617.

It is not a weakly prime, because it can be changed into another prime (137825687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68912808 + 68912809.

It is an arithmetic number, because the mean of its divisors is an integer number (68912809).

Almost surely, 2^137825617 is an apocalyptic number.

It is an amenable number.

137825617 is a deficient number, since it is larger than the sum of its proper divisors (1).

137825617 is an equidigital number, since it uses as much as digits as its factorization.

137825617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 70560, while the sum is 40.

The square root of 137825617 is about 11739.9155448410. The cubic root of 137825617 is about 516.5471643609.

The spelling of 137825617 in words is "one hundred thirty-seven million, eight hundred twenty-five thousand, six hundred seventeen".