3705137 has 2 divisors, whose sum is σ = 3705138. Its totient is φ = 3705136.

The previous prime is 3705113. The next prime is 3705161. The reversal of 3705137 is 7315073.

It is a balanced prime because it is at equal distance from previous prime (3705113) and next prime (3705161).

It can be written as a sum of positive squares in only one way, i.e., 3519376 + 185761 = 1876^2 + 431^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3705137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3705187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1852568 + 1852569.

It is an arithmetic number, because the mean of its divisors is an integer number (1852569).

Almost surely, 2^3705137 is an apocalyptic number.

It is an amenable number.

3705137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3705137 is an equidigital number, since it uses as much as digits as its factorization.

3705137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 26.

The square root of 3705137 is about 1924.8732425799. The cubic root of 3705137 is about 154.7395835293.

The spelling of 3705137 in words is "three million, seven hundred five thousand, one hundred thirty-seven".