164982 has 16 divisors (see below), whose sum is σ = 340992. Its totient is φ = 53160.

The previous prime is 164963. The next prime is 164987. The reversal of 164982 is 289461.

It is a d-powerful number, because it can be written as 1 + 6² + 9² + 4⁵ + 8⁵ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164987) by changing a digit.

164982 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 7 ways as a sum of consecutive naturals, for example, 258 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (21312).

2¹⁶⁴⁹⁸² is an apocalyptic number.

164982 is an abundant number, since it is smaller than the sum of its proper divisors (176010).

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

164982 is a wasteful number, since it uses less digits than its factorization.

164982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923.

The product of its digits is 3456, while the sum is 30.

The square root of 164982 is about 406.1797631591. The cubic root of 164982 is about 54.8460709767.

The spelling of 164982 in words is "one hundred sixty-four thousand, nine hundred eighty-two".