Search a number
-
+
164115697 is a prime number
BaseRepresentation
bin10011100100000…
…11010011110001
3102102210221102011
421302003103301
5314003200242
624141322521
74031650264
oct1162032361
9372727364
10164115697
1184703609
1246b66441
1328001ba5
1417b20cdb
15e61bd17
hex9c834f1

164115697 has 2 divisors, whose sum is σ = 164115698. Its totient is φ = 164115696.

The previous prime is 164115691. The next prime is 164115713. The reversal of 164115697 is 796511461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162588001 + 1527696 = 12751^2 + 1236^2 .

It is an emirp because it is prime and its reverse (796511461) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164115697 is a prime.

It is a super-3 number, since 3×1641156973 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (164115691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82057848 + 82057849.

It is an arithmetic number, because the mean of its divisors is an integer number (82057849).

Almost surely, 2164115697 is an apocalyptic number.

It is an amenable number.

164115697 is a deficient number, since it is larger than the sum of its proper divisors (1).

164115697 is an equidigital number, since it uses as much as digits as its factorization.

164115697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 40.

The square root of 164115697 is about 12810.7648873906. The cubic root of 164115697 is about 547.4990549249.

The spelling of 164115697 in words is "one hundred sixty-four million, one hundred fifteen thousand, six hundred ninety-seven".