2001953 has 2 divisors, whose sum is σ = 2001954. Its totient is φ = 2001952.

The previous prime is 2001919. The next prime is 2001977. The reversal of 2001953 is 3591002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1940449 + 61504 = 1393^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001953 - 2⁸ = 2001697 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2001353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000976 + 1000977.

It is an arithmetic number, because the mean of its divisors is an integer number (1000977).

2^2001953 is an apocalyptic number.

It is an amenable number.

2001953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001953 is an equidigital number, since it uses as much as digits as its factorization.

2001953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 2001953 is about 1414.9038836614. The cubic root of 2001953 is about 126.0331020780.

Adding to 2001953 its reverse (3591002), we get a palindrome (5592955).

The spelling of 2001953 in words is "two million, one thousand, nine hundred fifty-three".