61766 has 8 divisors (see below), whose sum is σ = 93960. Its totient is φ = 30448.

The previous prime is 61757. The next prime is 61781. The reversal of 61766 is 66716.

61766 is nontrivially palindromic in base 12.

61766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 15.

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 61766.

It is an unprimeable number.

61766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (11745).

2⁶¹⁷⁶⁶ is an apocalyptic number.

61766 is a deficient number, since it is larger than the sum of its proper divisors (32194).

61766 is a wasteful number, since it uses less digits than its factorization.

61766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438.

The product of its digits is 1512, while the sum is 26.

The square root of 61766 is about 248.5276644561. The cubic root of 61766 is about 39.5290604926.

Subtracting 61766 from its reverse (66716), we obtain a triangular number (4950 = T₉₉).

The spelling of 61766 in words is "sixty-one thousand, seven hundred sixty-six".