20677 has 8 divisors (see below), whose sum is σ = 23040. Its totient is φ = 18480.

The previous prime is 20663. The next prime is 20681. The reversal of 20677 is 77602.

20677 is nontrivially palindromic in base 8.

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

It is a cyclic number.

It is not a de Polignac number, because 20677 - 2⁷ = 20549 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20627) 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, 652 + ... + 682.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2²⁰⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

20677 is a deficient number, since it is larger than the sum of its proper divisors (2363).

20677 is a wasteful number, since it uses less digits than its factorization.

20677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83.

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

The square root of 20677 is about 143.7949929587. The cubic root of 20677 is about 27.4470606882.

The spelling of 20677 in words is "twenty thousand, six hundred seventy-seven".