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67164289 is a prime number
BaseRepresentation
bin1000000000011…
…01100010000001
311200101022002021
410000031202001
5114143224124
610355321441
71443613153
oct400154201
9150338067
1067164289
1134a04585
121a5b0281
1310bb7baa
148cc4ad3
155d6a7e4
hex400d881

67164289 has 2 divisors, whose sum is σ = 67164290. Its totient is φ = 67164288.

The previous prime is 67164281. The next prime is 67164311. The reversal of 67164289 is 98246176.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40538689 + 26625600 = 6367^2 + 5160^2 .

It is a cyclic number.

It is not a de Polignac number, because 67164289 - 23 = 67164281 is a prime.

It is a super-2 number, since 2×671642892 = 9022083433751042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (67164281) 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, 33582144 + 33582145.

It is an arithmetic number, because the mean of its divisors is an integer number (33582145).

Almost surely, 267164289 is an apocalyptic number.

It is an amenable number.

67164289 is a deficient number, since it is larger than the sum of its proper divisors (1).

67164289 is an equidigital number, since it uses as much as digits as its factorization.

67164289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 43.

The square root of 67164289 is about 8195.3821753473. The cubic root of 67164289 is about 406.4865130401.

The spelling of 67164289 in words is "sixty-seven million, one hundred sixty-four thousand, two hundred eighty-nine".