82998 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 26208.

The previous prime is 82997. The next prime is 83003. The reversal of 82998 is 89928.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540 + ... + 1592.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁸²⁹⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

82998 is an abundant number, since it is smaller than the sum of its proper divisors (111402).

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

82998 is a wasteful number, since it uses less digits than its factorization.

82998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 82998 is about 288.0937347462. The cubic root of 82998 is about 43.6203563446.

The spelling of 82998 in words is "eighty-two thousand, nine hundred ninety-eight".