Search a number
-
+
82347457 is a prime number
BaseRepresentation
bin1001110100010…
…00010111000001
312201221200110211
410322020113001
5132040104312
612100554121
72016641023
oct472102701
9181850424
1082347457
1142534955
12236b2941
13140a2a0a
14ad18013
1573693a7
hex4e885c1

82347457 has 2 divisors, whose sum is σ = 82347458. Its totient is φ = 82347456.

The previous prime is 82347409. The next prime is 82347479. The reversal of 82347457 is 75474328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41783296 + 40564161 = 6464^2 + 6369^2 .

It is a cyclic number.

It is not a de Polignac number, because 82347457 - 27 = 82347329 is a prime.

It is a super-2 number, since 2×823474572 = 13562207348733698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82347157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41173728 + 41173729.

It is an arithmetic number, because the mean of its divisors is an integer number (41173729).

Almost surely, 282347457 is an apocalyptic number.

It is an amenable number.

82347457 is a deficient number, since it is larger than the sum of its proper divisors (1).

82347457 is an equidigital number, since it uses as much as digits as its factorization.

82347457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 188160, while the sum is 40.

The square root of 82347457 is about 9074.5499612928. The cubic root of 82347457 is about 435.0609101302.

The spelling of 82347457 in words is "eighty-two million, three hundred forty-seven thousand, four hundred fifty-seven".