708137 has 2 divisors, whose sum is σ = 708138. Its totient is φ = 708136.

The previous prime is 708131. The next prime is 708139. The reversal of 708137 is 731807.

708137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 495616 + 212521 = 704^2 + 461^2 .

It is an emirp because it is prime and its reverse (731807) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-708137 is a prime.

Together with 708139, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₅₇₁₆₇ and since 708137 and 57167 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 (708131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 354068 + 354069.

It is an arithmetic number, because the mean of its divisors is an integer number (354069).

2⁷⁰⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

708137 is a deficient number, since it is larger than the sum of its proper divisors (1).

708137 is an equidigital number, since it uses as much as digits as its factorization.

708137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 708137 is about 841.5087640661. The cubic root of 708137 is about 89.1331172976.

The spelling of 708137 in words is "seven hundred eight thousand, one hundred thirty-seven".