16730 has 16 divisors (see below), whose sum is σ = 34560. Its totient is φ = 5712.

The previous prime is 16729. The next prime is 16741. The reversal of 16730 is 3761.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 7 and base 12.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 16699 and 16708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16730.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2¹⁶⁷³⁰ is an apocalyptic number.

16730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16730 is an abundant number, since it is smaller than the sum of its proper divisors (17830).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

16730 is a wasteful number, since it uses less digits than its factorization.

16730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 16730 is about 129.3445012360. The cubic root of 16730 is about 25.5759621365.

The spelling of 16730 in words is "sixteen thousand, seven hundred thirty".