16967 has 6 divisors (see below), whose sum is σ = 18288. Its totient is φ = 15732.

The previous prime is 16963. The next prime is 16979. The reversal of 16967 is 76961.

It is a happy number.

It is not a de Polignac number, because 16967 - 2² = 16963 is a prime.

It is a super-3 number, since 3×16967³ = 14653333509189, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 338 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (3048).

2¹⁶⁹⁶⁷ is an apocalyptic number.

16967 is a deficient number, since it is larger than the sum of its proper divisors (1321).

16967 is an equidigital number, since it uses as much as digits as its factorization.

16967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its digits is 2268, while the sum is 29.

The square root of 16967 is about 130.2574374076. The cubic root of 16967 is about 25.6961674250.

The spelling of 16967 in words is "sixteen thousand, nine hundred sixty-seven".