2005137 has 6 divisors (see below), whose sum is σ = 2896322. Its totient is φ = 1336752.

The previous prime is 2005121. The next prime is 2005139. The reversal of 2005137 is 7315002.

It can be written as a sum of positive squares in only one way, i.e., 2005056 + 81 = 1416^2 + 9^2 .

It is not a de Polignac number, because 2005137 - 2⁴ = 2005121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111388 + ... + 111405.

2^2005137 is an apocalyptic number.

It is an amenable number.

2005137 is a deficient number, since it is larger than the sum of its proper divisors (891185).

2005137 is a wasteful number, since it uses less digits than its factorization.

2005137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222799 (or 222796 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2005137 is about 1416.0286014061. The cubic root of 2005137 is about 126.0998830067.

The spelling of 2005137 in words is "two million, five thousand, one hundred thirty-seven".