Search a number
-
+
35381813 is a prime number
BaseRepresentation
bin1000011011111…
…0001000110101
32110120120201112
42012332020311
533024204223
63302204405
7606511655
oct206761065
973516645
1035381813
1118a76975
12ba23705
13743a7ac
1449b0365
15318d778
hex21be235

35381813 has 2 divisors, whose sum is σ = 35381814. Its totient is φ = 35381812.

The previous prime is 35381779. The next prime is 35381837. The reversal of 35381813 is 31818353.

35381813 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., 30724849 + 4656964 = 5543^2 + 2158^2 .

It is a cyclic number.

It is not a de Polignac number, because 35381813 - 28 = 35381557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35381813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35381873) 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, 17690906 + 17690907.

It is an arithmetic number, because the mean of its divisors is an integer number (17690907).

Almost surely, 235381813 is an apocalyptic number.

It is an amenable number.

35381813 is a deficient number, since it is larger than the sum of its proper divisors (1).

35381813 is an equidigital number, since it uses as much as digits as its factorization.

35381813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 32.

The square root of 35381813 is about 5948.2613426110. The cubic root of 35381813 is about 328.2917942989.

The spelling of 35381813 in words is "thirty-five million, three hundred eighty-one thousand, eight hundred thirteen".