57971801 has 2 divisors, whose sum is σ = 57971802. Its totient is φ = 57971800.

The previous prime is 57971743. The next prime is 57971813. The reversal of 57971801 is 10817975.

57971801 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., 49843600 + 8128201 = 7060^2 + 2851^2 .

It is a cyclic number.

It is not a de Polignac number, because 57971801 - 2¹⁰ = 57970777 is a prime.

It is a super-2 number, since 2×57971801² = 6721459422367202, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (57971401) 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, 28985900 + 28985901.

It is an arithmetic number, because the mean of its divisors is an integer number (28985901).

Almost surely, 2^57971801 is an apocalyptic number.

It is an amenable number.

57971801 is a deficient number, since it is larger than the sum of its proper divisors (1).

57971801 is an equidigital number, since it uses as much as digits as its factorization.

57971801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 38.

The square root of 57971801 is about 7613.9215257317. The cubic root of 57971801 is about 387.0249212207.

The spelling of 57971801 in words is "fifty-seven million, nine hundred seventy-one thousand, eight hundred one".