85107 has 8 divisors (see below), whose sum is σ = 123840. Its totient is φ = 51560.

The previous prime is 85103. The next prime is 85109. The reversal of 85107 is 70158.

85107 = T₁₃₃ + T₁₃₄ + ... + T₁₄₁.

It is a happy number.

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 85107 - 2² = 85103 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85107.

It is not an unprimeable number, because it can be changed into a prime (85103) 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, 1257 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (15480).

2⁸⁵¹⁰⁷ is an apocalyptic number.

85107 is a deficient number, since it is larger than the sum of its proper divisors (38733).

85107 is a wasteful number, since it uses less digits than its factorization.

85107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 85107 is about 291.7310405151. The cubic root of 85107 is about 43.9867384276.

It can be divided in two parts, 8 and 5107, that added together give a palindrome (5115).

The spelling of 85107 in words is "eighty-five thousand, one hundred seven".