20967 has 8 divisors (see below), whose sum is σ = 29040. Its totient is φ = 13440.

The previous prime is 20963. The next prime is 20981. The reversal of 20967 is 76902.

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

It is not a de Polignac number, because 20967 - 2² = 20963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20963) 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, 34 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (3630).

2²⁰⁹⁶⁷ is an apocalyptic number.

20967 is a deficient number, since it is larger than the sum of its proper divisors (8073).

20967 is a wasteful number, since it uses less digits than its factorization.

20967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273.

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

The square root of 20967 is about 144.7998618784. The cubic root of 20967 is about 27.5747826798.

It can be divided in two parts, 209 and 67, that added together give a triangular number (276 = T₂₃).

The spelling of 20967 in words is "twenty thousand, nine hundred sixty-seven".