54966 has 8 divisors (see below), whose sum is σ = 109944. Its totient is φ = 18320.

The previous prime is 54959. The next prime is 54973. The reversal of 54966 is 66945.

It is an interprime number because it is at equal distance from previous prime (54959) and next prime (54973).

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

54966 is an admirable number.

It is a super-2 number, since 2×54966² = 6042522312, which contains 22 as substring.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 54 and 966 contains 54966 itself.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4575 + ... + 4586.

It is an arithmetic number, because the mean of its divisors is an integer number (13743).

2⁵⁴⁹⁶⁶ is an apocalyptic number.

54966 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54972).

54966 is a wasteful number, since it uses less digits than its factorization.

54966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9166.

The product of its digits is 6480, while the sum is 30.

The square root of 54966 is about 234.4482885414. The cubic root of 54966 is about 38.0216866054.

The spelling of 54966 in words is "fifty-four thousand, nine hundred sixty-six".