4065137 has 2 divisors, whose sum is σ = 4065138. Its totient is φ = 4065136.

The previous prime is 4065119. The next prime is 4065157. The reversal of 4065137 is 7315604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3936256 + 128881 = 1984^2 + 359^2 .

It is a cyclic number.

It is not a de Polignac number, because 4065137 - 2⁶ = 4065073 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4065157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2032568 + 2032569.

It is an arithmetic number, because the mean of its divisors is an integer number (2032569).

Almost surely, 2^4065137 is an apocalyptic number.

It is an amenable number.

4065137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4065137 is an equidigital number, since it uses as much as digits as its factorization.

4065137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 4065137 is about 2016.2184901444. The cubic root of 4065137 is about 159.5971244428.

The spelling of 4065137 in words is "four million, sixty-five thousand, one hundred thirty-seven".