20767 has 4 divisors (see below), whose sum is σ = 21880. Its totient is φ = 19656.

The previous prime is 20759. The next prime is 20771. The reversal of 20767 is 76702.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76702 = 2 ⋅38351.

It is a cyclic number.

It is not a de Polignac number, because 20767 - 2³ = 20759 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20707) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 528 + ... + 565.

It is an arithmetic number, because the mean of its divisors is an integer number (5470).

2²⁰⁷⁶⁷ is an apocalyptic number.

20767 is a deficient number, since it is larger than the sum of its proper divisors (1113).

20767 is a wasteful number, since it uses less digits than its factorization.

20767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112.

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 20767 is about 144.1075986893. The cubic root of 20767 is about 27.4868256455.

It can be divided in two parts, 20 and 767, that added together give a palindrome (787).

The spelling of 20767 in words is "twenty thousand, seven hundred sixty-seven".