2112953 has 2 divisors, whose sum is σ = 2112954. Its totient is φ = 2112952.

The previous prime is 2112937. The next prime is 2112961. The reversal of 2112953 is 3592112.

2112953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1352569 + 760384 = 1163^2 + 872^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112953 - 2⁴ = 2112937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056476 + 1056477.

It is an arithmetic number, because the mean of its divisors is an integer number (1056477).

2^2112953 is an apocalyptic number.

It is an amenable number.

2112953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112953 is an equidigital number, since it uses as much as digits as its factorization.

2112953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 23.

The square root of 2112953 is about 1453.6000137589. The cubic root of 2112953 is about 128.3206681529.

The spelling of 2112953 in words is "two million, one hundred twelve thousand, nine hundred fifty-three".