57768401 has 2 divisors, whose sum is σ = 57768402. Its totient is φ = 57768400.

The previous prime is 57768391. The next prime is 57768413. The reversal of 57768401 is 10486775.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31348801 + 26419600 = 5599^2 + 5140^2 .

It is a cyclic number.

It is not a de Polignac number, because 57768401 - 2¹⁴ = 57752017 is a prime.

It is not a weakly prime, because it can be changed into another prime (57768421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28884200 + 28884201.

It is an arithmetic number, because the mean of its divisors is an integer number (28884201).

Almost surely, 2^57768401 is an apocalyptic number.

It is an amenable number.

57768401 is a deficient number, since it is larger than the sum of its proper divisors (1).

57768401 is an equidigital number, since it uses as much as digits as its factorization.

57768401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 57768401 is about 7600.5526772729. The cubic root of 57768401 is about 386.5717519543.

The spelling of 57768401 in words is "fifty-seven million, seven hundred sixty-eight thousand, four hundred one".