Search a number
-
+
81815381 is a prime number
BaseRepresentation
bin1001110000001…
…10011101010101
312200221122121022
410320012131111
5131421043011
612041330525
72012263544
oct470063525
9180848538
1081815381
114220111a
1223496a45
1313c4778b
14ac1a15b
1572b18db
hex4e06755

81815381 has 2 divisors, whose sum is σ = 81815382. Its totient is φ = 81815380.

The previous prime is 81815309. The next prime is 81815389. The reversal of 81815381 is 18351818.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73376356 + 8439025 = 8566^2 + 2905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-81815381 is a prime.

It is a super-2 number, since 2×818153812 = 13387513136350322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (81815389) 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, 40907690 + 40907691.

It is an arithmetic number, because the mean of its divisors is an integer number (40907691).

Almost surely, 281815381 is an apocalyptic number.

It is an amenable number.

81815381 is a deficient number, since it is larger than the sum of its proper divisors (1).

81815381 is an equidigital number, since it uses as much as digits as its factorization.

81815381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7680, while the sum is 35.

The square root of 81815381 is about 9045.1855149577. The cubic root of 81815381 is about 434.1218573066.

The spelling of 81815381 in words is "eighty-one million, eight hundred fifteen thousand, three hundred eighty-one".