85901301 has 12 divisors (see below), whose sum is σ = 124531212. Its totient is φ = 57059136.

The previous prime is 85901281. The next prime is 85901311. The reversal of 85901301 is 10310958.

It can be written as a sum of positive squares in 2 ways, for example, as 33628401 + 52272900 = 5799^2 + 7230^2 .

It is not a de Polignac number, because 85901301 - 2¹⁰ = 85900277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85901311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14736 + ... + 19721.

It is an arithmetic number, because the mean of its divisors is an integer number (10377601).

Almost surely, 2^85901301 is an apocalyptic number.

It is an amenable number.

85901301 is a deficient number, since it is larger than the sum of its proper divisors (38629911).

85901301 is a wasteful number, since it uses less digits than its factorization.

85901301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34740 (or 34737 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 85901301 is about 9268.2954743577. The cubic root of 85901301 is about 441.2315719632.

The spelling of 85901301 in words is "eighty-five million, nine hundred one thousand, three hundred one".