85088041 has 2 divisors, whose sum is σ = 85088042. Its totient is φ = 85088040.

The previous prime is 85087993. The next prime is 85088051. The reversal of 85088041 is 14088058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82882816 + 2205225 = 9104^2 + 1485^2 .

It is a cyclic number.

It is not a de Polignac number, because 85088041 - 2²³ = 76699433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85087988 and 85088006.

It is not a weakly prime, because it can be changed into another prime (85088051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42544020 + 42544021.

It is an arithmetic number, because the mean of its divisors is an integer number (42544021).

Almost surely, 2^85088041 is an apocalyptic number.

It is an amenable number.

85088041 is a deficient number, since it is larger than the sum of its proper divisors (1).

85088041 is an equidigital number, since it uses as much as digits as its factorization.

85088041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 85088041 is about 9224.3179151632. The cubic root of 85088041 is about 439.8347192581.

The spelling of 85088041 in words is "eighty-five million, eighty-eight thousand, forty-one".