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164216329 is a prime number
BaseRepresentation
bin10011100100110…
…11111000001001
3102110000001110021
421302123320021
5314014410304
624143420441
74032546544
oct1162337011
9373001407
10164216329
1184772182
1246bb4721
1328038934
1417b4985b
15e63ba54
hex9c9be09

164216329 has 2 divisors, whose sum is σ = 164216330. Its totient is φ = 164216328.

The previous prime is 164216309. The next prime is 164216341. The reversal of 164216329 is 923612461.

It is a happy number.

164216329 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., 130576329 + 33640000 = 11427^2 + 5800^2 .

It is a cyclic number.

It is not a de Polignac number, because 164216329 - 213 = 164208137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164216294 and 164216303.

It is not a weakly prime, because it can be changed into another prime (164216309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82108164 + 82108165.

It is an arithmetic number, because the mean of its divisors is an integer number (82108165).

Almost surely, 2164216329 is an apocalyptic number.

It is an amenable number.

164216329 is a deficient number, since it is larger than the sum of its proper divisors (1).

164216329 is an equidigital number, since it uses as much as digits as its factorization.

164216329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15552, while the sum is 34.

The square root of 164216329 is about 12814.6919198239. The cubic root of 164216329 is about 547.6109367021.

It can be divided in two parts, 1642 and 16329, that added together give a palindrome (17971).

The spelling of 164216329 in words is "one hundred sixty-four million, two hundred sixteen thousand, three hundred twenty-nine".