179982 has 40 divisors (see below), whose sum is σ = 444312. Its totient is φ = 54000.

The previous prime is 179981. The next prime is 179989. The reversal of 179982 is 289971.

It is a happy number.

Its product of digits (9072) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (179981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1732 + ... + 1832.

2¹⁷⁹⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 179982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222156).

179982 is an abundant number, since it is smaller than the sum of its proper divisors (264330).

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

179982 is a wasteful number, since it uses less digits than its factorization.

179982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 179982 is about 424.2428549781. The cubic root of 179982 is about 56.4602795981.

It can be divided in two parts, 1799 and 82, that added together give a palindrome (1881).

The spelling of 179982 in words is "one hundred seventy-nine thousand, nine hundred eighty-two".