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20033 = 132367
BaseRepresentation
bin100111001000001
31000110222
410321001
51120113
6232425
7112256
oct47101
930428
1020033
1114062
12b715
139170
14742d
155e08
hex4e41

20033 has 8 divisors (see below), whose sum is σ = 22848. Its totient is φ = 17424.

The previous prime is 20029. The next prime is 20047. The reversal of 20033 is 33002.

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 20033 - 22 = 20029 is a prime.

It is a Duffinian number.

20033 is a modest number, since divided by 33 gives 2 as remainder.

It is a plaindrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 20033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20023) 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, 266 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (2856).

220033 is an apocalyptic number.

20033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20033 is a deficient number, since it is larger than the sum of its proper divisors (2815).

20033 is a wasteful number, since it uses less digits than its factorization.

20033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103.

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 20033 is about 141.5379807684. The cubic root of 20033 is about 27.1590972592.

Adding to 20033 its reverse (33002), we get a palindrome (53035).

The spelling of 20033 in words is "twenty thousand, thirty-three".

Divisors: 1 13 23 67 299 871 1541 20033