85417101 has 72 divisors (see below), whose sum is σ = 161493696. Its totient is φ = 42261120.

The previous prime is 85417099. The next prime is 85417139. The reversal of 85417101 is 10171458.

It is not a de Polignac number, because 85417101 - 2¹ = 85417099 is a prime.

It is a super-2 number, since 2×85417101² = 14592162286488402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85412101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 366481 + ... + 366713.

It is an arithmetic number, because the mean of its divisors is an integer number (2242968).

Almost surely, 2^85417101 is an apocalyptic number.

It is an amenable number.

85417101 is a deficient number, since it is larger than the sum of its proper divisors (76076595).

85417101 is a wasteful number, since it uses less digits than its factorization.

85417101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 85417101 is about 9242.1372528220. The cubic root of 85417101 is about 440.4009791671.

Adding to 85417101 its reverse (10171458), we get a palindrome (95588559).

It can be divided in two parts, 854 and 17101, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 85417101 in words is "eighty-five million, four hundred seventeen thousand, one hundred one".