85115901 has 16 divisors (see below), whose sum is σ = 122383296. Its totient is φ = 52308096.

The previous prime is 85115897. The next prime is 85115911. The reversal of 85115901 is 10951158.

It is not a de Polignac number, because 85115901 - 2² = 85115897 is a prime.

It is a super-3 number, since 3×85115901³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85115911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55126 + ... + 56648.

It is an arithmetic number, because the mean of its divisors is an integer number (7648956).

Almost surely, 2^85115901 is an apocalyptic number.

It is an amenable number.

85115901 is a deficient number, since it is larger than the sum of its proper divisors (37267395).

85115901 is a wasteful number, since it uses less digits than its factorization.

85115901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972.

The product of its (nonzero) digits is 1800, while the sum is 30.

The square root of 85115901 is about 9225.8279303269. The cubic root of 85115901 is about 439.8827183971.

The spelling of 85115901 in words is "eighty-five million, one hundred fifteen thousand, nine hundred one".