61761 has 16 divisors (see below), whose sum is σ = 100224. Its totient is φ = 33024.

The previous prime is 61757. The next prime is 61781. The reversal of 61761 is 16716.

It is not a de Polignac number, because 61761 - 2² = 61757 is a prime.

It is a super-2 number, since 2×61761² = 7628842242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61761.

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (6264).

2⁶¹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

61761 is a deficient number, since it is larger than the sum of its proper divisors (38463).

61761 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (61760) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (200).

61761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200.

The product of its digits is 252, while the sum is 21.

The square root of 61761 is about 248.5176050102. The cubic root of 61761 is about 39.5279938290.

The spelling of 61761 in words is "sixty-one thousand, seven hundred sixty-one".