57649 has 2 divisors, whose sum is σ = 57650. Its totient is φ = 57648.

The previous prime is 57641. The next prime is 57653. The reversal of 57649 is 94675.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 49 = 240^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 57649 - 2³ = 57641 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 57649.

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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28824 + 28825.

It is an arithmetic number, because the mean of its divisors is an integer number (28825).

2⁵⁷⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

57649 is a deficient number, since it is larger than the sum of its proper divisors (1).

57649 is an equidigital number, since it uses as much as digits as its factorization.

57649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

The square root of 57649 is about 240.1020616321. The cubic root of 57649 is about 38.6305234331.

It can be divided in two parts, 576 and 49, that multiplied together give a square (28224 = 168²).

The spelling of 57649 in words is "fifty-seven thousand, six hundred forty-nine".