57761 has 8 divisors (see below), whose sum is σ = 64800. Its totient is φ = 51040.

The previous prime is 57751. The next prime is 57773. The reversal of 57761 is 16775.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 57761 - 2⁶ = 57697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57761.

It is not an unprimeable number, because it can be changed into a prime (57731) 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 in 7 ways as a sum of consecutive naturals, for example, 605 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁵⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

57761 is a deficient number, since it is larger than the sum of its proper divisors (7039).

57761 is a wasteful number, since it uses less digits than its factorization.

57761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159.

The product of its digits is 1470, while the sum is 26.

The square root of 57761 is about 240.3351826096. The cubic root of 57761 is about 38.6555242700.

It can be divided in two parts, 57 and 761, that added together give a palindrome (818).

The spelling of 57761 in words is "fifty-seven thousand, seven hundred sixty-one".