Search a number
-
+
801645329 is a prime number
BaseRepresentation
bin101111110010000…
…010001100010001
32001212102210122202
4233302002030101
53120210122304
6211314012545
725602605252
oct5762021421
92055383582
10801645329
11381565001
121a4577155
13ca10aa64
1478676b29
154a59e81e
hex2fc82311

801645329 has 2 divisors, whose sum is σ = 801645330. Its totient is φ = 801645328.

The previous prime is 801645307. The next prime is 801645349. The reversal of 801645329 is 923546108.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 796537729 + 5107600 = 28223^2 + 2260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-801645329 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 801645292 and 801645301.

It is not a weakly prime, because it can be changed into another prime (801645349) 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, 400822664 + 400822665.

It is an arithmetic number, because the mean of its divisors is an integer number (400822665).

Almost surely, 2801645329 is an apocalyptic number.

It is an amenable number.

801645329 is a deficient number, since it is larger than the sum of its proper divisors (1).

801645329 is an equidigital number, since it uses as much as digits as its factorization.

801645329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 801645329 is about 28313.3418903527. The cubic root of 801645329 is about 928.9537426521.

The spelling of 801645329 in words is "eight hundred one million, six hundred forty-five thousand, three hundred twenty-nine".