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33029 is a prime number

33029 has 2 divisors, whose sum is σ = 33030. Its totient is φ = 33028.

The previous prime is 33023. The next prime is 33037. The reversal of 33029 is 92033.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16900 + 16129 = 130^2 + 127^2 .

It is an emirp because it is prime and its reverse (92033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33029 - 24 = 33013 is a prime.

It is a d-powerful number, because it can be written as 32 + 35 + 0 + 215 + 9 .

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 32998 and 33016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33029.

It is not a weakly prime, because it can be changed into another prime (33023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16514 + 16515.

It is an arithmetic number, because the mean of its divisors is an integer number (16515).

233029 is an apocalyptic number.

It is an amenable number.

33029 is a deficient number, since it is larger than the sum of its proper divisors (1).

33029 is an equidigital number, since it uses as much as digits as its factorization.

33029 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 17.

The square root of 33029 is about 181.7388235903. The cubic root of 33029 is about 32.0847363566.

The spelling of 33029 in words is "thirty-three thousand, twenty-nine".