Search a number
-
+
165044441 is a prime number
BaseRepresentation
bin10011101011001…
…10000011011001
3102111120010102002
421311212003121
5314222410231
624213250345
74042566062
oct1165460331
9374503362
10165044441
1185188371
12473339b5
1328268843
1417cc3569
15e7520cb
hex9d660d9

165044441 has 2 divisors, whose sum is σ = 165044442. Its totient is φ = 165044440.

The previous prime is 165044371. The next prime is 165044461. The reversal of 165044441 is 144440561.

165044441 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., 104142025 + 60902416 = 10205^2 + 7804^2 .

It is a cyclic number.

It is not a de Polignac number, because 165044441 - 214 = 165028057 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p9241274 and since 165044441 and 9241274 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (165044461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82522220 + 82522221.

It is an arithmetic number, because the mean of its divisors is an integer number (82522221).

Almost surely, 2165044441 is an apocalyptic number.

It is an amenable number.

165044441 is a deficient number, since it is larger than the sum of its proper divisors (1).

165044441 is an equidigital number, since it uses as much as digits as its factorization.

165044441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 165044441 is about 12846.9623257796. The cubic root of 165044441 is about 548.5298933054.

The spelling of 165044441 in words is "one hundred sixty-five million, forty-four thousand, four hundred forty-one".