16500 has 48 divisors (see below), whose sum is σ = 52416. Its totient is φ = 4000.

The previous prime is 16493. The next prime is 16519. The reversal of 16500 is 561.

16500 = T₅₆ + T₅₇ + ... + T₆₄.

It is a hoax number, since the sum of its digits (12) 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495 + ... + 1505.

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

2¹⁶⁵⁰⁰ is an apocalyptic number.

16500 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 16500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208).

16500 is an abundant number, since it is smaller than the sum of its proper divisors (35916).

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

16500 is a wasteful number, since it uses less digits than its factorization.

16500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 16500 is about 128.4523257867. The cubic root of 16500 is about 25.4582168483.

It can be divided in two parts, 16 and 500, that multiplied together give a cube (8000 = 20³).

The spelling of 16500 in words is "sixteen thousand, five hundred".