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33085601 is a prime number
BaseRepresentation
bin111111000110…
…1100010100001
32022020220220122
41332031202201
531432214401
63141050025
7551136323
oct176154241
968226818
1033085601
111774877a
12b0b6915
136b155a3
144573613
152d8821b
hex1f8d8a1

33085601 has 2 divisors, whose sum is σ = 33085602. Its totient is φ = 33085600.

The previous prime is 33085597. The next prime is 33085687. The reversal of 33085601 is 10658033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31192225 + 1893376 = 5585^2 + 1376^2 .

It is a cyclic number.

It is not a de Polignac number, because 33085601 - 22 = 33085597 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33085001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16542800 + 16542801.

It is an arithmetic number, because the mean of its divisors is an integer number (16542801).

Almost surely, 233085601 is an apocalyptic number.

It is an amenable number.

33085601 is a deficient number, since it is larger than the sum of its proper divisors (1).

33085601 is an equidigital number, since it uses as much as digits as its factorization.

33085601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 33085601 is about 5752.0084318436. The cubic root of 33085601 is about 321.0305351012.

The spelling of 33085601 in words is "thirty-three million, eighty-five thousand, six hundred one".