10998 has 24 divisors (see below), whose sum is σ = 26208. Its totient is φ = 3312.

The previous prime is 10993. The next prime is 11003. The reversal of 10998 is 89901.

10998 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (10993) and next prime (11003).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

2¹⁰⁹⁹⁸ is an apocalyptic number.

10998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104).

10998 is an abundant number, since it is smaller than the sum of its proper divisors (15210).

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

10998 is a wasteful number, since it uses less digits than its factorization.

10998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10998 is about 104.8713497577. The cubic root of 10998 is about 22.2384529573.

Adding to 10998 its sum of digits (27), we get a square (11025 = 105²).

The spelling of 10998 in words is "ten thousand, nine hundred ninety-eight".