20737 has 4 divisors (see below), whose sum is σ = 21060. Its totient is φ = 20416.

The previous prime is 20731. The next prime is 20743. The reversal of 20737 is 73702.

20737 is nontrivially palindromic in base 12.

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

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (20731) and next prime (20743).

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 16641 = 64^2 + 129^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20737 is a prime.

It is a Duffinian 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 3 ways as a sum of consecutive naturals, for example, 28 + ... + 205.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

It is a Proth number, since it is equal to 81 ⋅ 2⁸ + 1 and 81 < 2⁸.

2²⁰⁷³⁷ is an apocalyptic number.

It is an amenable number.

20737 is a deficient number, since it is larger than the sum of its proper divisors (323).

20737 is an equidigital number, since it uses as much as digits as its factorization.

20737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322.

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 20737 is about 144.0034721804. The cubic root of 20737 is about 27.4735834478.

It can be divided in two parts, 2073 and 7, that added together give a triangular number (2080 = T₆₄).

The spelling of 20737 in words is "twenty thousand, seven hundred thirty-seven".