Search a number
-
+
182882813 is a prime number
BaseRepresentation
bin10101110011010…
…01000111111101
3110202010102001112
422321221013331
5333304222223
630051451405
74350323021
oct1271510775
9422112045
10182882813
1194261623
12512b6b65
132bb730a9
141a408381
15110c7778
hexae691fd

182882813 has 2 divisors, whose sum is σ = 182882814. Its totient is φ = 182882812.

The previous prime is 182882803. The next prime is 182882839. The reversal of 182882813 is 318288281.

182882813 = 95622 + 95632.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91450969 + 91431844 = 9563^2 + 9562^2 .

It is a cyclic number.

It is not a de Polignac number, because 182882813 - 210 = 182881789 is a prime.

It is a super-3 number, since 3×1828828133 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (182882803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91441406 + 91441407.

It is an arithmetic number, because the mean of its divisors is an integer number (91441407).

Almost surely, 2182882813 is an apocalyptic number.

182882813 is the 9563-rd centered square number.

It is an amenable number.

182882813 is a deficient number, since it is larger than the sum of its proper divisors (1).

182882813 is an equidigital number, since it uses as much as digits as its factorization.

182882813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49152, while the sum is 41.

The square root of 182882813 is about 13523.4172086792. The cubic root of 182882813 is about 567.6199238108.

The spelling of 182882813 in words is "one hundred eighty-two million, eight hundred eighty-two thousand, eight hundred thirteen".