166984 has 8 divisors (see below), whose sum is σ = 313110. Its totient is φ = 83488.

The previous prime is 166979. The next prime is 166987. The reversal of 166984 is 489661.

It can be written as a sum of positive squares in only one way, i.e., 152100 + 14884 = 390^2 + 122^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (166987) by changing a digit.

166984 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 as a sum of consecutive naturals, namely, 10429 + ... + 10444.

2¹⁶⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

166984 is a deficient number, since it is larger than the sum of its proper divisors (146126).

166984 is a wasteful number, since it uses less digits than its factorization.

166984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20879 (or 20875 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 166984 is about 408.6367580138. The cubic root of 166984 is about 55.0670257240.

The spelling of 166984 in words is "one hundred sixty-six thousand, nine hundred eighty-four".