Search a number
-
+
85553441 is a prime number
BaseRepresentation
bin1010001100101…
…11000100100001
312221222120020222
411012113010201
5133400202231
612253412425
72056122641
oct506270441
9187876228
1085553441
1144324626
122479a115
131495604c
14b510521
15779e27b
hex5197121

85553441 has 2 divisors, whose sum is σ = 85553442. Its totient is φ = 85553440.

The previous prime is 85553437. The next prime is 85553449. The reversal of 85553441 is 14435558.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73891216 + 11662225 = 8596^2 + 3415^2 .

It is a cyclic number.

It is not a de Polignac number, because 85553441 - 22 = 85553437 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p4974074 and since 85553441 and 4974074 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (85553449) 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, 42776720 + 42776721.

It is an arithmetic number, because the mean of its divisors is an integer number (42776721).

Almost surely, 285553441 is an apocalyptic number.

It is an amenable number.

85553441 is a deficient number, since it is larger than the sum of its proper divisors (1).

85553441 is an equidigital number, since it uses as much as digits as its factorization.

85553441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48000, while the sum is 35.

The square root of 85553441 is about 9249.5103113624. The cubic root of 85553441 is about 440.6351725164.

Adding to 85553441 its reverse (14435558), we get a palindrome (99988999).

The spelling of 85553441 in words is "eighty-five million, five hundred fifty-three thousand, four hundred forty-one".