137806217 has 2 divisors, whose sum is σ = 137806218. Its totient is φ = 137806216.

The previous prime is 137806213. The next prime is 137806283. The reversal of 137806217 is 712608731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133379401 + 4426816 = 11549^2 + 2104^2 .

It is a cyclic number.

It is not a de Polignac number, because 137806217 - 2² = 137806213 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137806211) 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, 68903108 + 68903109.

It is an arithmetic number, because the mean of its divisors is an integer number (68903109).

Almost surely, 2^137806217 is an apocalyptic number.

It is an amenable number.

137806217 is a deficient number, since it is larger than the sum of its proper divisors (1).

137806217 is an equidigital number, since it uses as much as digits as its factorization.

137806217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 137806217 is about 11739.0892747266. The cubic root of 137806217 is about 516.5229272478.

The spelling of 137806217 in words is "one hundred thirty-seven million, eight hundred six thousand, two hundred seventeen".