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33706117 is a prime number
BaseRepresentation
bin1000000010010…
…1000010000101
32100102110002201
42000211002011
532112043432
63202234501
7556332364
oct200450205
970373081
1033706117
11180319a5
12b355a31
136ca1b63
1446957db
152e5bee7
hex2025085

33706117 has 2 divisors, whose sum is σ = 33706118. Its totient is φ = 33706116.

The previous prime is 33706081. The next prime is 33706129. The reversal of 33706117 is 71160733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20738916 + 12967201 = 4554^2 + 3601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33706117 is a prime.

It is a super-2 number, since 2×337061172 = 2272204646435378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33706157) 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, 16853058 + 16853059.

It is an arithmetic number, because the mean of its divisors is an integer number (16853059).

Almost surely, 233706117 is an apocalyptic number.

It is an amenable number.

33706117 is a deficient number, since it is larger than the sum of its proper divisors (1).

33706117 is an equidigital number, since it uses as much as digits as its factorization.

33706117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 33706117 is about 5805.6969435202. The cubic root of 33706117 is about 323.0250789666.

The spelling of 33706117 in words is "thirty-three million, seven hundred six thousand, one hundred seventeen".