20735 has 16 divisors (see below), whose sum is σ = 30240. Its totient is φ = 13440.

The previous prime is 20731. The next prime is 20743. The reversal of 20735 is 53702.

20735 is nontrivially palindromic in base 12.

It is a Cunningham number, because it is equal to 12⁴-1.

Together with 9504 it forms a betrothed pair.

It is not a de Polignac number, because 20735 - 2² = 20731 is a prime.

20735 is a nontrivial repdigit in base 12.

It is a plaindrome in base 6 and base 12.

It is a nialpdrome in base 12.

It is a zygodrome in base 4 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2²⁰⁷³⁵ is an apocalyptic number.

20735 is a deficient number, since it is larger than the sum of its proper divisors (9505).

20735 is a wasteful number, since it uses less digits than its factorization.

20735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 20735 is about 143.9965277359. The cubic root of 20735 is about 27.4727001806.

It can be divided in two parts, 207 and 35, that added together give a palindrome (242).

The spelling of 20735 in words is "twenty thousand, seven hundred thirty-five".