137762897 has 2 divisors, whose sum is σ = 137762898. Its totient is φ = 137762896.

The previous prime is 137762879. The next prime is 137762909. The reversal of 137762897 is 798267731.

Together with previous prime (137762879) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71893441 + 65869456 = 8479^2 + 8116^2 .

It is an emirp because it is prime and its reverse (798267731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137762897 - 2⁸ = 137762641 is a prime.

It is not a weakly prime, because it can be changed into another prime (137762837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68881448 + 68881449.

It is an arithmetic number, because the mean of its divisors is an integer number (68881449).

Almost surely, 2^137762897 is an apocalyptic number.

It is an amenable number.

137762897 is a deficient number, since it is larger than the sum of its proper divisors (1).

137762897 is an equidigital number, since it uses as much as digits as its factorization.

137762897 is an evil number, because the sum of its binary digits is even.

The product of its digits is 889056, while the sum is 50.

The square root of 137762897 is about 11737.2440121180. The cubic root of 137762897 is about 516.4687978122.

The spelling of 137762897 in words is "one hundred thirty-seven million, seven hundred sixty-two thousand, eight hundred ninety-seven".