20574 has 20 divisors (see below), whose sum is σ = 46464. Its totient is φ = 6804.

The previous prime is 20563. The next prime is 20593. The reversal of 20574 is 47502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

20574 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 99 + ... + 225.

2²⁰⁵⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23232).

20574 is an abundant number, since it is smaller than the sum of its proper divisors (25890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20574 is a wasteful number, since it uses less digits than its factorization.

20574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20574 is about 143.4363970546. The cubic root of 20574 is about 27.4014100541.

It can be divided in two parts, 2057 and 4, that multiplied together give a palindrome (8228).

The spelling of 20574 in words is "twenty thousand, five hundred seventy-four".