Search a number
-
+
83328313 is a prime number
BaseRepresentation
bin1001111011101…
…11110100111001
312210210111221211
410331313310321
5132313001223
612134003121
72031164455
oct475676471
9183714854
1083328313
1143044882
1223aa64a1
13143572c3
14b0d1665
1574aed0d
hex4f77d39

83328313 has 2 divisors, whose sum is σ = 83328314. Its totient is φ = 83328312.

The previous prime is 83328253. The next prime is 83328317. The reversal of 83328313 is 31382338.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57805609 + 25522704 = 7603^2 + 5052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83328313 is a prime.

It is not a weakly prime, because it can be changed into another prime (83328317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41664156 + 41664157.

It is an arithmetic number, because the mean of its divisors is an integer number (41664157).

Almost surely, 283328313 is an apocalyptic number.

It is an amenable number.

83328313 is a deficient number, since it is larger than the sum of its proper divisors (1).

83328313 is an equidigital number, since it uses as much as digits as its factorization.

83328313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 31.

The square root of 83328313 is about 9128.4343126300. The cubic root of 83328313 is about 436.7814608618.

The spelling of 83328313 in words is "eighty-three million, three hundred twenty-eight thousand, three hundred thirteen".