2005937 has 2 divisors, whose sum is σ = 2005938. Its totient is φ = 2005936.

The previous prime is 2005931. The next prime is 2005943. The reversal of 2005937 is 7395002.

It is a balanced prime because it is at equal distance from previous prime (2005931) and next prime (2005943).

It can be written as a sum of positive squares in only one way, i.e., 1948816 + 57121 = 1396^2 + 239^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005937 - 2⁶ = 2005873 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2005931) 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, 1002968 + 1002969.

It is an arithmetic number, because the mean of its divisors is an integer number (1002969).

2^2005937 is an apocalyptic number.

It is an amenable number.

2005937 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005937 is an equidigital number, since it uses as much as digits as its factorization.

2005937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 2005937 is about 1416.3110534060. The cubic root of 2005937 is about 126.1166510203.

The spelling of 2005937 in words is "two million, five thousand, nine hundred thirty-seven".