Search a number
-
+
85858753 is a prime number
BaseRepresentation
bin1010001111000…
…01100111000001
312222120002001211
411013201213001
5133434440003
612304130121
72061534031
oct507414701
9188502054
1085858753
1144512a52
1224906941
1314a31cc6
14b58d8c1
15780e96d
hex51e19c1

85858753 has 2 divisors, whose sum is σ = 85858754. Its totient is φ = 85858752.

The previous prime is 85858723. The next prime is 85858757. The reversal of 85858753 is 35785858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80156209 + 5702544 = 8953^2 + 2388^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85858753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85858697 and 85858706.

It is not a weakly prime, because it can be changed into another prime (85858757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42929376 + 42929377.

It is an arithmetic number, because the mean of its divisors is an integer number (42929377).

Almost surely, 285858753 is an apocalyptic number.

It is an amenable number.

85858753 is a deficient number, since it is larger than the sum of its proper divisors (1).

85858753 is an equidigital number, since it uses as much as digits as its factorization.

85858753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1344000, while the sum is 49.

The square root of 85858753 is about 9265.9998381178. Note that the first 3 decimals coincide. The cubic root of 85858753 is about 441.1587107409.

The spelling of 85858753 in words is "eighty-five million, eight hundred fifty-eight thousand, seven hundred fifty-three".