705137 has 2 divisors, whose sum is σ = 705138. Its totient is φ = 705136.

The previous prime is 705127. The next prime is 705161. The reversal of 705137 is 731507.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 698896 + 6241 = 836^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 705137 - 2⁶ = 705073 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (705127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352568 + 352569.

It is an arithmetic number, because the mean of its divisors is an integer number (352569).

2⁷⁰⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

705137 is a deficient number, since it is larger than the sum of its proper divisors (1).

705137 is an equidigital number, since it uses as much as digits as its factorization.

705137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 705137 is about 839.7243595371. The cubic root of 705137 is about 89.0070692529.

The spelling of 705137 in words is "seven hundred five thousand, one hundred thirty-seven".