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164584829 is a prime number
BaseRepresentation
bin10011100111101…
…01110101111101
3102110200202221102
421303311311331
5314113203304
624155342445
74035643103
oct1163656575
9373622842
10164584829
11849a4022
1247151a25
1328137596
1417c03c73
15e6b0d1e
hex9cf5d7d

164584829 has 2 divisors, whose sum is σ = 164584830. Its totient is φ = 164584828.

The previous prime is 164584817. The next prime is 164584883. The reversal of 164584829 is 928485461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164531929 + 52900 = 12827^2 + 230^2 .

It is an emirp because it is prime and its reverse (928485461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164584829 - 224 = 147807613 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164584129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82292414 + 82292415.

It is an arithmetic number, because the mean of its divisors is an integer number (82292415).

Almost surely, 2164584829 is an apocalyptic number.

It is an amenable number.

164584829 is a deficient number, since it is larger than the sum of its proper divisors (1).

164584829 is an equidigital number, since it uses as much as digits as its factorization.

164584829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 552960, while the sum is 47.

The square root of 164584829 is about 12829.0618908788. The cubic root of 164584829 is about 548.0202420729.

The spelling of 164584829 in words is "one hundred sixty-four million, five hundred eighty-four thousand, eight hundred twenty-nine".