16977 has 4 divisors (see below), whose sum is σ = 22640. Its totient is φ = 11316.

The previous prime is 16963. The next prime is 16979. The reversal of 16977 is 77961.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 16977 - 2¹¹ = 14929 is a prime.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16977.

It is not an unprimeable number, because it can be changed into a prime (16979) 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 3 ways as a sum of consecutive naturals, for example, 2827 + ... + 2832.

It is an arithmetic number, because the mean of its divisors is an integer number (5660).

2¹⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

16977 is a deficient number, since it is larger than the sum of its proper divisors (5663).

16977 is an equidigital number, since it uses as much as digits as its factorization.

16977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662.

The product of its digits is 2646, while the sum is 30.

The square root of 16977 is about 130.2958172775. The cubic root of 16977 is about 25.7012146973.

The spelling of 16977 in words is "sixteen thousand, nine hundred seventy-seven".