85351041 has 12 divisors (see below), whose sum is σ = 125611668. Its totient is φ = 55826784.

The previous prime is 85351039. The next prime is 85351061. The reversal of 85351041 is 14015358.

It can be written as a sum of positive squares in 2 ways, for example, as 78694641 + 6656400 = 8871^2 + 2580^2 .

It is not a de Polignac number, because 85351041 - 2¹ = 85351039 is a prime.

It is a super-4 number, since 4×85351041⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85350996 and 85351014.

It is not an unprimeable number, because it can be changed into a prime (85351061) 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 in 11 ways as a sum of consecutive naturals, for example, 88990 + ... + 89943.

It is an arithmetic number, because the mean of its divisors is an integer number (10467639).

Almost surely, 2^85351041 is an apocalyptic number.

It is an amenable number.

85351041 is a deficient number, since it is larger than the sum of its proper divisors (40260627).

85351041 is a wasteful number, since it uses less digits than its factorization.

85351041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178992 (or 178989 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 85351041 is about 9238.5627128899. The cubic root of 85351041 is about 440.2874172397.

Adding to 85351041 its reverse (14015358), we get a palindrome (99366399).

The spelling of 85351041 in words is "eighty-five million, three hundred fifty-one thousand, forty-one".