4100137 has 2 divisors, whose sum is σ = 4100138. Its totient is φ = 4100136.

The previous prime is 4100099. The next prime is 4100167. The reversal of 4100137 is 7310014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3884841 + 215296 = 1971^2 + 464^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100137 - 2¹¹ = 4098089 is a prime.

It is a super-2 number, since 2×4100137² = 33622246837538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4100137.

It is not a weakly prime, because it can be changed into another prime (4100167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050068 + 2050069.

It is an arithmetic number, because the mean of its divisors is an integer number (2050069).

Almost surely, 2^4100137 is an apocalyptic number.

It is an amenable number.

4100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100137 is an equidigital number, since it uses as much as digits as its factorization.

4100137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 4100137 is about 2024.8795025877. The cubic root of 4100137 is about 160.0538490622.

The spelling of 4100137 in words is "four million, one hundred thousand, one hundred thirty-seven".