20034 has 32 divisors (see below), whose sum is σ = 51840. Its totient is φ = 5616.

The previous prime is 20029. The next prime is 20047. The reversal of 20034 is 43002.

20034 = 12² + 13² + ... + 39².

It is a super-2 number, since 2×20034² = 802722312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 19998 and 20025.

It is an unprimeable number.

20034 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2²⁰⁰³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920).

20034 is an abundant number, since it is smaller than the sum of its proper divisors (31806).

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

20034 is a wasteful number, since it uses less digits than its factorization.

20034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20034 is about 141.5415133450. The cubic root of 20034 is about 27.1595491577.

Adding to 20034 its reverse (43002), we get a palindrome (63036).

The spelling of 20034 in words is "twenty thousand, thirty-four".