16677 has 12 divisors (see below), whose sum is σ = 25740. Its totient is φ = 10368.

The previous prime is 16673. The next prime is 16691. The reversal of 16677 is 77661.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 4356 = 111^2 + 66^2 .

It is not a de Polignac number, because 16677 - 2² = 16673 is a prime.

16677 is a lucky number.

It is a plaindrome in base 10 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 16677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16673) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 99 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (2145).

2¹⁶⁶⁷⁷ is an apocalyptic number.

16677 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

16677 is a deficient number, since it is larger than the sum of its proper divisors (9063).

16677 is a wasteful number, since it uses less digits than its factorization.

16677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 129 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 16677 is about 129.1394595002. The cubic root of 16677 is about 25.5489256764.

It can be divided in two parts, 166 and 77, that added together give a 5-th power (243 = 3⁵).

The spelling of 16677 in words is "sixteen thousand, six hundred seventy-seven".