Search a number
-
+
164107061 is a prime number
BaseRepresentation
bin10011100100000…
…01001100110101
3102102210111120022
421302001030311
5314002411221
624141214525
74031613146
oct1162011465
9372714508
10164107061
11846a8078
1246b61445
1327ccac91
1417b1bacd
15e6194ab
hex9c81335

164107061 has 2 divisors, whose sum is σ = 164107062. Its totient is φ = 164107060.

The previous prime is 164107043. The next prime is 164107067. The reversal of 164107061 is 160701461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105966436 + 58140625 = 10294^2 + 7625^2 .

It is an emirp because it is prime and its reverse (160701461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164107061 - 210 = 164106037 is a prime.

It is a super-2 number, since 2×1641070612 = 53862254940115442, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164107061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164107067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82053530 + 82053531.

It is an arithmetic number, because the mean of its divisors is an integer number (82053531).

Almost surely, 2164107061 is an apocalyptic number.

It is an amenable number.

164107061 is a deficient number, since it is larger than the sum of its proper divisors (1).

164107061 is an equidigital number, since it uses as much as digits as its factorization.

164107061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 164107061 is about 12810.4278226763. The cubic root of 164107061 is about 547.4894513650.

The spelling of 164107061 in words is "one hundred sixty-four million, one hundred seven thousand, sixty-one".