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33821009 is a prime number
BaseRepresentation
bin1000000100000…
…1000101010001
32100122021200222
42001001011101
532124233014
63204522425
7560321345
oct201010521
970567628
1033821009
1118100252
12b3b0415
137012241
1446c5625
152e8108e
hex2041151

33821009 has 2 divisors, whose sum is σ = 33821010. Its totient is φ = 33821008.

The previous prime is 33821003. The next prime is 33821057. The reversal of 33821009 is 90012833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27793984 + 6027025 = 5272^2 + 2455^2 .

It is a cyclic number.

It is not a de Polignac number, because 33821009 - 24 = 33820993 is a prime.

It is a super-4 number, since 4×338210094 (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (33821003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16910504 + 16910505.

It is an arithmetic number, because the mean of its divisors is an integer number (16910505).

Almost surely, 233821009 is an apocalyptic number.

It is an amenable number.

33821009 is a deficient number, since it is larger than the sum of its proper divisors (1).

33821009 is an equidigital number, since it uses as much as digits as its factorization.

33821009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 33821009 is about 5815.5832897483. The cubic root of 33821009 is about 323.3916880777.

The spelling of 33821009 in words is "thirty-three million, eight hundred twenty-one thousand, nine".