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9029 is a prime number
BaseRepresentation
bin10001101000101
3110101102
42031011
5242104
6105445
735216
oct21505
913342
109029
116869
125285
134157
14340d
152a1e
hex2345

9029 has 2 divisors, whose sum is σ = 9030. Its totient is φ = 9028.

The previous prime is 9013. The next prime is 9041. The reversal of 9029 is 9209.

Subtracting from 9029 its sum of digits (20), we obtain a palindrome (9009).

It can be divided in two parts, 902 and 9, that multiplied together give a palindrome (8118).

9029 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9025 + 4 = 95^2 + 2^2 .

It is an emirp because it is prime and its reverse (9209) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9029 - 24 = 9013 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 9029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4514 + 4515.

It is an arithmetic number, because the mean of its divisors is an integer number (4515).

29029 is an apocalyptic number.

It is an amenable number.

9029 is a deficient number, since it is larger than the sum of its proper divisors (1).

9029 is an equidigital number, since it uses as much as digits as its factorization.

9029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 9029 is about 95.0210502994. The cubic root of 9029 is about 20.8231559179.

The spelling of 9029 in words is "nine thousand, twenty-nine".