2011957 has 2 divisors, whose sum is σ = 2011958. Its totient is φ = 2011956.

The previous prime is 2011951. The next prime is 2011973. The reversal of 2011957 is 7591102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1957201 + 54756 = 1399^2 + 234^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011957 - 2¹⁵ = 1979189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005978 + 1005979.

It is an arithmetic number, because the mean of its divisors is an integer number (1005979).

2^2011957 is an apocalyptic number.

It is an amenable number.

2011957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011957 is an equidigital number, since it uses as much as digits as its factorization.

2011957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 2011957 is about 1418.4347006472. The cubic root of 2011957 is about 126.2426875482.

The spelling of 2011957 in words is "two million, eleven thousand, nine hundred fifty-seven".