85101916 has 24 divisors (see below), whose sum is σ = 150822000. Its totient is φ = 42013824.

The previous prime is 85101911. The next prime is 85101917. The reversal of 85101916 is 61910158.

It is a super-2 number, since 2×85101916² = 14484672213742112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85101911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149280 + ... + 149848.

It is an arithmetic number, because the mean of its divisors is an integer number (6284250).

Almost surely, 2^85101916 is an apocalyptic number.

It is an amenable number.

85101916 is a deficient number, since it is larger than the sum of its proper divisors (65720084).

85101916 is a wasteful number, since it uses less digits than its factorization.

85101916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 85101916 is about 9225.0699726344. The cubic root of 85101916 is about 439.8586253793.

The spelling of 85101916 in words is "eighty-five million, one hundred one thousand, nine hundred sixteen".