59761 has 4 divisors (see below), whose sum is σ = 64372. Its totient is φ = 55152.

The previous prime is 59753. The next prime is 59771. The reversal of 59761 is 16795.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 16795 = 5 ⋅3359.

It can be written as a sum of positive squares in 2 ways, for example, as 6400 + 53361 = 80^2 + 231^2 .

It is a cyclic number.

It is not a de Polignac number, because 59761 - 2³ = 59753 is a prime.

It is a Duffinian number.

59761 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (59771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2286 + ... + 2311.

It is an arithmetic number, because the mean of its divisors is an integer number (16093).

2⁵⁹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

59761 is a deficient number, since it is larger than the sum of its proper divisors (4611).

59761 is a wasteful number, since it uses less digits than its factorization.

59761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610.

The product of its digits is 1890, while the sum is 28.

The square root of 59761 is about 244.4606307772. The cubic root of 59761 is about 39.0966264971.

It can be divided in two parts, 59 and 761, that added together give a triangular number (820 = T₄₀).

The spelling of 59761 in words is "fifty-nine thousand, seven hundred sixty-one".