2137681 has 16 divisors (see below), whose sum is σ = 2665600. Its totient is φ = 1679184.

The previous prime is 2137679. The next prime is 2137687. The reversal of 2137681 is 1867312.

2137681 = 106² + 107² + ... + 196².

It is not a de Polignac number, because 2137681 - 2¹ = 2137679 is a prime.

It is a super-2 number, since 2×2137681² = 9139360115522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2137687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15310 + ... + 15448.

It is an arithmetic number, because the mean of its divisors is an integer number (166600).

2^2137681 is an apocalyptic number.

It is an amenable number.

2137681 is a deficient number, since it is larger than the sum of its proper divisors (527919).

2137681 is an equidigital number, since it uses as much as digits as its factorization.

2137681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 2137681 is about 1462.0810511049. The cubic root of 2137681 is about 128.8193091494.

The spelling of 2137681 in words is "two million, one hundred thirty-seven thousand, six hundred eighty-one".