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164706517 is a prime number
BaseRepresentation
bin10011101000100…
…11100011010101
3102110220221212101
421310103203111
5314131102032
624202122101
74036660633
oct1164234325
9373827771
10164706517
1184a77498
12471b0331
132817aaa1
1417c36353
15e6d6de7
hex9d138d5

164706517 has 2 divisors, whose sum is σ = 164706518. Its totient is φ = 164706516.

The previous prime is 164706481. The next prime is 164706539. The reversal of 164706517 is 715607461.

164706517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141752836 + 22953681 = 11906^2 + 4791^2 .

It is an emirp because it is prime and its reverse (715607461) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164706517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164706587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82353258 + 82353259.

It is an arithmetic number, because the mean of its divisors is an integer number (82353259).

Almost surely, 2164706517 is an apocalyptic number.

It is an amenable number.

164706517 is a deficient number, since it is larger than the sum of its proper divisors (1).

164706517 is an equidigital number, since it uses as much as digits as its factorization.

164706517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 164706517 is about 12833.8036840214. The cubic root of 164706517 is about 548.1552708378.

The spelling of 164706517 in words is "one hundred sixty-four million, seven hundred six thousand, five hundred seventeen".