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33013217 is a prime number
BaseRepresentation
bin111110111101…
…1110111100001
32022010020121202
41331323313201
531422410332
63135330545
7550415306
oct175736741
968106552
1033013217
11176a9356
12b080a55
136abb663
1445550ad
152d71a62
hex1f7bde1

33013217 has 2 divisors, whose sum is σ = 33013218. Its totient is φ = 33013216.

The previous prime is 33013199. The next prime is 33013247. The reversal of 33013217 is 71231033.

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., 30294016 + 2719201 = 5504^2 + 1649^2 .

It is an emirp because it is prime and its reverse (71231033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33013217 - 26 = 33013153 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33013247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16506608 + 16506609.

It is an arithmetic number, because the mean of its divisors is an integer number (16506609).

Almost surely, 233013217 is an apocalyptic number.

It is an amenable number.

33013217 is a deficient number, since it is larger than the sum of its proper divisors (1).

33013217 is an equidigital number, since it uses as much as digits as its factorization.

33013217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 33013217 is about 5745.7129235631. The cubic root of 33013217 is about 320.7962494871.

The spelling of 33013217 in words is "thirty-three million, thirteen thousand, two hundred seventeen".