61166 has 16 divisors (see below), whose sum is σ = 111456. Its totient is φ = 24576.

The previous prime is 61153. The next prime is 61169. The reversal of 61166 is 66116.

61166 is nontrivially palindromic in base 16.

61166 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

61166 is an undulating number in base 4.

61166 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (6966).

2⁶¹¹⁶⁶ is an apocalyptic number.

61166 is a deficient number, since it is larger than the sum of its proper divisors (50290).

61166 is a wasteful number, since it uses less digits than its factorization.

61166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283.

The product of its digits is 216, while the sum is 20.

The square root of 61166 is about 247.3176095631. The cubic root of 61166 is about 39.4006476055.

Subtracting 61166 from its reverse (66116), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 6 and 1166, that multiplied together give a palindrome (6996).

The spelling of 61166 in words is "sixty-one thousand, one hundred sixty-six".