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18032 = 247223

18032 has 30 divisors (see below), whose sum is σ = 42408. Its totient is φ = 7392.

The previous prime is 18013. The next prime is 18041. The reversal of 18032 is 23081.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 17998 and 18016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18032.

It is an unprimeable number.

18032 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 5 ways as a sum of consecutive naturals, for example, 773 + ... + 795.

218032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204).

18032 is an abundant number, since it is smaller than the sum of its proper divisors (24376).

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

18032 is a wasteful number, since it uses less digits than its factorization.

18032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 18032 is about 134.2832826528. The cubic root of 18032 is about 26.2229350674. Note that the first 3 decimals are identical.

It can be divided in two parts, 180 and 32, that added together give a palindrome (212).

The spelling of 18032 in words is "eighteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 2254 2576 4508 9016 18032