Search a number
-
+
162164161 is a prime number
BaseRepresentation
bin10011010101001…
…10110111000001
3102022010210102001
421222212313001
5313003223121
624031424001
74006241545
oct1152466701
9368123361
10162164161
11835a0375
1246385001
132779a833
1417773a25
15e383991
hex9aa6dc1

162164161 has 2 divisors, whose sum is σ = 162164162. Its totient is φ = 162164160.

The previous prime is 162164117. The next prime is 162164179. The reversal of 162164161 is 161461261.

162164161 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., 88736400 + 73427761 = 9420^2 + 8569^2 .

It is a cyclic number.

It is not a de Polignac number, because 162164161 - 29 = 162163649 is a prime.

It is a super-2 number, since 2×1621641612 = 52594430225667842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (162864161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81082080 + 81082081.

It is an arithmetic number, because the mean of its divisors is an integer number (81082081).

Almost surely, 2162164161 is an apocalyptic number.

It is an amenable number.

162164161 is a deficient number, since it is larger than the sum of its proper divisors (1).

162164161 is an equidigital number, since it uses as much as digits as its factorization.

162164161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 28.

The square root of 162164161 is about 12734.3692815938. The cubic root of 162164161 is about 545.3202516956.

The spelling of 162164161 in words is "one hundred sixty-two million, one hundred sixty-four thousand, one hundred sixty-one".