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33023 is a prime number
BaseRepresentation
bin1000000011111111
31200022002
420003333
52024043
6412515
7165164
oct100377
950262
1033023
11228a1
121713b
1312053
14c06b
159bb8
hex80ff

33023 has 2 divisors, whose sum is σ = 33024. Its totient is φ = 33022.

The previous prime is 33013. The next prime is 33029. The reversal of 33023 is 32033.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33023 - 212 = 28927 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 3 + 32 + 0 + 215 + 35 .

It is a junction number, because it is equal to n+sod(n) for n = 32995 and 33013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16511 + 16512.

It is an arithmetic number, because the mean of its divisors is an integer number (16512).

233023 is an apocalyptic number.

33023 is a deficient number, since it is larger than the sum of its proper divisors (1).

33023 is an equidigital number, since it uses as much as digits as its factorization.

33023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 11.

The square root of 33023 is about 181.7223156357. The cubic root of 33023 is about 32.0827934168.

Adding to 33023 its reverse (32033), we get a palindrome (65056).

Subtracting from 33023 its reverse (32033), we obtain a triangular number (990 = T44).

It can be divided in two parts, 330 and 23, that added together give a palindrome (353).

The spelling of 33023 in words is "thirty-three thousand, twenty-three".