57601 has 2 divisors, whose sum is σ = 57602. Its totient is φ = 57600.

The previous prime is 57593. The next prime is 57637. The reversal of 57601 is 10675.

It is a Cunningham number, because it is equal to 240²+1.

57601 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 1 = 240^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 57601 - 2³ = 57593 is a prime.

It is a super-3 number, since 3×57601³ = 573338788358403, which contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (57641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28800 + 28801.

It is an arithmetic number, because the mean of its divisors is an integer number (28801).

It is a Proth number, since it is equal to 225 ⋅ 2⁸ + 1 and 225 < 2⁸.

2⁵⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

57601 is a deficient number, since it is larger than the sum of its proper divisors (1).

57601 is an equidigital number, since it uses as much as digits as its factorization.

57601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 57601 is about 240.0020833243. The cubic root of 57601 is about 38.6197988758.

The spelling of 57601 in words is "fifty-seven thousand, six hundred one".