57090961 has 2 divisors, whose sum is σ = 57090962. Its totient is φ = 57090960.

The previous prime is 57090931. The next prime is 57090973. The reversal of 57090961 is 16909075.

57090961 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., 39450961 + 17640000 = 6281^2 + 4200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57090961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57090961.

It is not a weakly prime, because it can be changed into another prime (57090931) 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, 28545480 + 28545481.

It is an arithmetic number, because the mean of its divisors is an integer number (28545481).

Almost surely, 2^57090961 is an apocalyptic number.

It is an amenable number.

57090961 is a deficient number, since it is larger than the sum of its proper divisors (1).

57090961 is an equidigital number, since it uses as much as digits as its factorization.

57090961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 57090961 is about 7555.8560732719. The cubic root of 57090961 is about 385.0547198324.

The spelling of 57090961 in words is "fifty-seven million, ninety thousand, nine hundred sixty-one".