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23167033 is a prime number
BaseRepresentation
bin101100001100…
…0000000111001
31121121000012021
41120120000321
521412321113
62144314441
7400626241
oct130300071
947530167
1023167033
111209380a
127912a21
134a51b06
143110b21
15207948d
hex1618039

23167033 has 2 divisors, whose sum is σ = 23167034. Its totient is φ = 23167032.

The previous prime is 23167031. The next prime is 23167051. The reversal of 23167033 is 33076132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21930489 + 1236544 = 4683^2 + 1112^2 .

It is a cyclic number.

It is not a de Polignac number, because 23167033 - 21 = 23167031 is a prime.

It is a super-3 number, since 3×231670333 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 23167031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 23166989 and 23167007.

It is not a weakly prime, because it can be changed into another prime (23167031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11583516 + 11583517.

It is an arithmetic number, because the mean of its divisors is an integer number (11583517).

Almost surely, 223167033 is an apocalyptic number.

It is an amenable number.

23167033 is a deficient number, since it is larger than the sum of its proper divisors (1).

23167033 is an equidigital number, since it uses as much as digits as its factorization.

23167033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 23167033 is about 4813.2144145051. The cubic root of 23167033 is about 285.0734723880.

Subtracting 23167033 from its reverse (33076132), we obtain a palindrome (9909099).

The spelling of 23167033 in words is "twenty-three million, one hundred sixty-seven thousand, thirty-three".