66954 has 8 divisors (see below), whose sum is σ = 133920. Its totient is φ = 22316.

The previous prime is 66949. The next prime is 66959. The reversal of 66954 is 45966.

It is an interprime number because it is at equal distance from previous prime (66949) and next prime (66959).

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

66954 is an admirable number.

It is a d-powerful number, because it can be written as 6² + 6⁴ + 9² + 5 + 4⁸ .

It is not an unprimeable number, because it can be changed into a prime (66959) by changing a digit.

66954 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, 5574 + ... + 5585.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2⁶⁶⁹⁵⁴ is an apocalyptic number.

66954 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 (66960).

66954 is a wasteful number, since it uses less digits than its factorization.

66954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11164.

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

The square root of 66954 is about 258.7547101021. The cubic root of 66954 is about 40.6061837912.

The spelling of 66954 in words is "sixty-six thousand, nine hundred fifty-four".