18117000 has 256 divisors, whose sum is σ = 69638400. Its totient is φ = 4320000.

The previous prime is 18116977. The next prime is 18117023. The reversal of 18117000 is 71181.

It is an interprime number because it is at equal distance from previous prime (18116977) and next prime (18117023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296970 + ... + 297030.

It is an arithmetic number, because the mean of its divisors is an integer number (272025).

Almost surely, 2^18117000 is an apocalyptic number.

18117000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

18117000 is an abundant number, since it is smaller than the sum of its proper divisors (51521400).

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

18117000 is a wasteful number, since it uses less digits than its factorization.

18117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 18117000 is about 4256.4069354327. The cubic root of 18117000 is about 262.6407408540.

Adding to 18117000 its reverse (71181), we get a palindrome (18188181).

The spelling of 18117000 in words is "eighteen million, one hundred seventeen thousand".