61759 has 4 divisors (see below), whose sum is σ = 62320. Its totient is φ = 61200.

The previous prime is 61757. The next prime is 61781. The reversal of 61759 is 95716.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 61759 - 2¹ = 61757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (15580).

2⁶¹⁷⁵⁹ is an apocalyptic number.

61759 is a deficient number, since it is larger than the sum of its proper divisors (561).

61759 is a wasteful number, since it uses less digits than its factorization.

61759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560.

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

The square root of 61759 is about 248.5135811178. The cubic root of 61759 is about 39.5275671474.

It can be divided in two parts, 617 and 59, that added together give a palindrome (676).

The spelling of 61759 in words is "sixty-one thousand, seven hundred fifty-nine".