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33053 is a prime number
BaseRepresentation
bin1000000100011101
31200100012
420010131
52024203
6413005
7165236
oct100435
950305
1033053
1122919
1217165
1312077
14c08d
159bd8
hex811d

33053 has 2 divisors, whose sum is σ = 33054. Its totient is φ = 33052.

The previous prime is 33049. The next prime is 33071. The reversal of 33053 is 35033.

33053 is nontrivially palindromic in base 9.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 1369 = 178^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 33053 - 22 = 33049 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16526 + 16527.

It is an arithmetic number, because the mean of its divisors is an integer number (16527).

233053 is an apocalyptic number.

It is an amenable number.

33053 is a deficient number, since it is larger than the sum of its proper divisors (1).

33053 is an equidigital number, since it uses as much as digits as its factorization.

33053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 14.

The square root of 33053 is about 181.8048404196. The cubic root of 33053 is about 32.0925057637.

Adding to 33053 its reverse (35033), we get a palindrome (68086).

It can be divided in two parts, 330 and 53, that added together give a palindrome (383).

The spelling of 33053 in words is "thirty-three thousand, fifty-three".