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21532033 is a prime number
BaseRepresentation
bin101001000100…
…0110110000001
31111111221101201
41102020312001
521003011113
62045301201
7351006415
oct122106601
944457351
1021532033
1111177376
127264801
1345cb863
142c06d45
151d54cdd
hex1488d81

21532033 has 2 divisors, whose sum is σ = 21532034. Its totient is φ = 21532032.

The previous prime is 21532031. The next prime is 21532051. The reversal of 21532033 is 33023512.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20903184 + 628849 = 4572^2 + 793^2 .

It is a cyclic number.

It is not a de Polignac number, because 21532033 - 21 = 21532031 is a prime.

It is a super-2 number, since 2×215320332 = 927256890226178, which contains 22 as substring.

Together with 21532031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 21532033.

It is not a weakly prime, because it can be changed into another prime (21532031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10766016 + 10766017.

It is an arithmetic number, because the mean of its divisors is an integer number (10766017).

Almost surely, 221532033 is an apocalyptic number.

It is an amenable number.

21532033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21532033 is an equidigital number, since it uses as much as digits as its factorization.

21532033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 21532033 is about 4640.2621693176. The cubic root of 21532033 is about 278.2029167379.

Adding to 21532033 its reverse (33023512), we get a palindrome (54555545).

It can be divided in two parts, 2153 and 2033, that added together give a triangular number (4186 = T91).

The spelling of 21532033 in words is "twenty-one million, five hundred thirty-two thousand, thirty-three".