84966 has 36 divisors (see below), whose sum is σ = 209988. Its totient is φ = 22848.

The previous prime is 84961. The next prime is 84967. The reversal of 84966 is 66948.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4990 + ... + 5006.

It is an arithmetic number, because the mean of its divisors is an integer number (5833).

2⁸⁴⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104994).

84966 is an abundant number, since it is smaller than the sum of its proper divisors (125022).

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

84966 is a wasteful number, since it uses less digits than its factorization.

84966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 84966 is about 291.4892793912. The cubic root of 84966 is about 43.9624335002.

The spelling of 84966 in words is "eighty-four thousand, nine hundred sixty-six".