66916 has 6 divisors (see below), whose sum is σ = 117110. Its totient is φ = 33456.

The previous prime is 66889. The next prime is 66919. The reversal of 66916 is 61966.

It is a happy number.

66916 is nontrivially palindromic in base 3.

66916 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 6400 = 246^2 + 80^2 .

It is a plaindrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (66919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8361 + ... + 8368.

2⁶⁶⁹¹⁶ is an apocalyptic number.

It is an amenable number.

66916 is a deficient number, since it is larger than the sum of its proper divisors (50194).

66916 is a wasteful number, since it uses less digits than its factorization.

66916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16733 (or 16731 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 66916 is about 258.6812710654. The cubic root of 66916 is about 40.5985002722.

Subtracting from 66916 its reverse (61966), we obtain a triangular number (4950 = T₉₉).

The spelling of 66916 in words is "sixty-six thousand, nine hundred sixteen".