707112137 has 2 divisors, whose sum is σ = 707112138. Its totient is φ = 707112136.

The previous prime is 707112121. The next prime is 707112149. The reversal of 707112137 is 731211707.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 698492041 + 8620096 = 26429^2 + 2936^2 .

It is an emirp because it is prime and its reverse (731211707) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 707112137 - 2⁴ = 707112121 is a prime.

It is equal to p_36602129 and since 707112137 and 36602129 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (707114137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 353556068 + 353556069.

It is an arithmetic number, because the mean of its divisors is an integer number (353556069).

Almost surely, 2^707112137 is an apocalyptic number.

It is an amenable number.

707112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

707112137 is an equidigital number, since it uses as much as digits as its factorization.

707112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2058, while the sum is 29.

The square root of 707112137 is about 26591.5801899774. The cubic root of 707112137 is about 890.9009674354.

The spelling of 707112137 in words is "seven hundred seven million, one hundred twelve thousand, one hundred thirty-seven".