2011657 has 2 divisors, whose sum is σ = 2011658. Its totient is φ = 2011656.

The previous prime is 2011637. The next prime is 2011673. The reversal of 2011657 is 7561102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1990921 + 20736 = 1411^2 + 144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011657 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005828 + 1005829.

It is an arithmetic number, because the mean of its divisors is an integer number (1005829).

2^2011657 is an apocalyptic number.

It is an amenable number.

2011657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011657 is an equidigital number, since it uses as much as digits as its factorization.

2011657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 2011657 is about 1418.3289463309. The cubic root of 2011657 is about 126.2364126148.

Adding to 2011657 its reverse (7561102), we get a palindrome (9572759).

The spelling of 2011657 in words is "two million, eleven thousand, six hundred fifty-seven".