Search a number
-
+
85113493 is a prime number
BaseRepresentation
bin1010001001010…
…11101010010101
312221011012202121
411010223222111
5133242112433
612240135541
72052311203
oct504535225
9187135677
1085113493
1144054033
12246075b1
1314830a1a
14b438073
157713c2d
hex512ba95

85113493 has 2 divisors, whose sum is σ = 85113494. Its totient is φ = 85113492.

The previous prime is 85113491. The next prime is 85113527. The reversal of 85113493 is 39431158.

It is an a-pointer prime, because the next prime (85113527) can be obtained adding 85113493 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69605649 + 15507844 = 8343^2 + 3938^2 .

It is a cyclic number.

It is not a de Polignac number, because 85113493 - 21 = 85113491 is a prime.

It is a super-2 number, since 2×851134932 = 14488613381322098, which contains 22 as substring.

Together with 85113491, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85113491) 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, 42556746 + 42556747.

It is an arithmetic number, because the mean of its divisors is an integer number (42556747).

Almost surely, 285113493 is an apocalyptic number.

It is an amenable number.

85113493 is a deficient number, since it is larger than the sum of its proper divisors (1).

85113493 is an equidigital number, since it uses as much as digits as its factorization.

85113493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 34.

The square root of 85113493 is about 9225.6974262112. The cubic root of 85113493 is about 439.8785701414.

The spelling of 85113493 in words is "eighty-five million, one hundred thirteen thousand, four hundred ninety-three".