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23029 is a prime number
BaseRepresentation
bin101100111110101
31011120221
411213311
51214104
6254341
7124066
oct54765
934527
1023029
1116336
12113b1
13a636
14856d
156c54
hex59f5

23029 has 2 divisors, whose sum is σ = 23030. Its totient is φ = 23028.

The previous prime is 23027. The next prime is 23039. The reversal of 23029 is 92032.

It can be divided in two parts, 230 and 29, that multiplied together give a triangular number (6670 = T115).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 529 = 150^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 23029 - 21 = 23027 is a prime.

Together with 23027, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11514 + 11515.

It is an arithmetic number, because the mean of its divisors is an integer number (11515).

223029 is an apocalyptic number.

It is an amenable number.

23029 is a deficient number, since it is larger than the sum of its proper divisors (1).

23029 is an equidigital number, since it uses as much as digits as its factorization.

23029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 23029 is about 151.7530889307. The cubic root of 23029 is about 28.4506172629.

The spelling of 23029 in words is "twenty-three thousand, twenty-nine".