4005137 has 2 divisors, whose sum is σ = 4005138. Its totient is φ = 4005136.

The previous prime is 4005121. The next prime is 4005173. The reversal of 4005137 is 7315004.

It is a happy number.

4005137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (4005173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3297856 + 707281 = 1816^2 + 841^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005137 - 2⁴ = 4005121 is a prime.

It is a super-2 number, since 2×4005137² = 32082244777538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4002137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002568 + 2002569.

It is an arithmetic number, because the mean of its divisors is an integer number (2002569).

Almost surely, 2^4005137 is an apocalyptic number.

It is an amenable number.

4005137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005137 is an equidigital number, since it uses as much as digits as its factorization.

4005137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 4005137 is about 2001.2838379400. The cubic root of 4005137 is about 158.8080301210.

The spelling of 4005137 in words is "four million, five thousand, one hundred thirty-seven".