2967 has 8 divisors (see below), whose sum is σ = 4224. Its totient is φ = 1848.

The previous prime is 2963. The next prime is 2969. The reversal of 2967 is 7692.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2967 - 2² = 2963 is a prime.

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

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 5 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 90.

It is an arithmetic number, because the mean of its divisors is an integer number (528).

2²⁹⁶⁷ is an apocalyptic number.

2967 is a deficient number, since it is larger than the sum of its proper divisors (1257).

2967 is a wasteful number, since it uses less digits than its factorization.

2967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69.

The product of its digits is 756, while the sum is 24.

The square root of 2967 is about 54.4701753256. The cubic root of 2967 is about 14.3694181227.

Subtracting from 2967 its product of digits (756), we obtain a triangular number (2211 = T₆₆).

It can be divided in two parts, 296 and 7, that added together give a palindrome (303).

The spelling of 2967 in words is "two thousand, nine hundred sixty-seven".