85008401 has 8 divisors (see below), whose sum is σ = 85652424. Its totient is φ = 84367360.

The previous prime is 85008379. The next prime is 85008403. The reversal of 85008401 is 10480058.

It is a Cunningham number, because it is equal to 9220²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 34527376 + 50481025 = 5876^2 + 7105^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85008401 - 2¹⁸ = 84746257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85008403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98765 + ... + 99621.

It is an arithmetic number, because the mean of its divisors is an integer number (10706553).

Almost surely, 2^85008401 is an apocalyptic number.

It is an amenable number.

85008401 is a deficient number, since it is larger than the sum of its proper divisors (644023).

85008401 is a wasteful number, since it uses less digits than its factorization.

85008401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491.

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 85008401 is about 9220.0000542299. Note that the first 4 decimals coincide. The cubic root of 85008401 is about 439.6974521371.

Adding to 85008401 its reverse (10480058), we get a palindrome (95488459).

The spelling of 85008401 in words is "eighty-five million, eight thousand, four hundred one".