16770 has 32 divisors (see below), whose sum is σ = 44352. Its totient is φ = 4032.

The previous prime is 16763. The next prime is 16787. The reversal of 16770 is 7761.

Added to its reverse (7761) it gives a triangular number (24531 = T₂₂₁).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is an unprimeable number.

16770 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 15 ways as a sum of consecutive naturals, for example, 369 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (1386).

2¹⁶⁷⁷⁰ is an apocalyptic number.

16770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 129×130.

It is a practical number, because each smaller number is the sum of distinct divisors of 16770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176).

16770 is an abundant number, since it is smaller than the sum of its proper divisors (27582).

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

16770 is a wasteful number, since it uses less digits than its factorization.

16770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 16770 is about 129.4990347454. The cubic root of 16770 is about 25.5963292263.

Adding to 16770 its reverse (7761), we get a triangular number (24531 = T₂₂₁).

Subtracting from 16770 its reverse (7761), we obtain a palindrome (9009).

The spelling of 16770 in words is "sixteen thousand, seven hundred seventy".