137216897 has 2 divisors, whose sum is σ = 137216898. Its totient is φ = 137216896.

The previous prime is 137216869. The next prime is 137216903. The reversal of 137216897 is 798612731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109327936 + 27888961 = 10456^2 + 5281^2 .

It is a cyclic number.

It is not a de Polignac number, because 137216897 - 2¹⁶ = 137151361 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137216837) 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, 68608448 + 68608449.

It is an arithmetic number, because the mean of its divisors is an integer number (68608449).

Almost surely, 2^137216897 is an apocalyptic number.

It is an amenable number.

137216897 is a deficient number, since it is larger than the sum of its proper divisors (1).

137216897 is an equidigital number, since it uses as much as digits as its factorization.

137216897 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 127008, while the sum is 44.

The square root of 137216897 is about 11713.9616270500. The cubic root of 137216897 is about 515.7855820971.

The spelling of 137216897 in words is "one hundred thirty-seven million, two hundred sixteen thousand, eight hundred ninety-seven".