85710167 has 24 divisors (see below), whose sum is σ = 95823840. Its totient is φ = 76507200.

The previous prime is 85710113. The next prime is 85710179. The reversal of 85710167 is 76101758.

It is not a de Polignac number, because 85710167 - 2¹⁶ = 85644631 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85710367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567542 + ... + 567692.

It is an arithmetic number, because the mean of its divisors is an integer number (3992660).

Almost surely, 2^85710167 is an apocalyptic number.

85710167 is a deficient number, since it is larger than the sum of its proper divisors (10113673).

85710167 is a wasteful number, since it uses less digits than its factorization.

85710167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

The square root of 85710167 is about 9257.9785590592. The cubic root of 85710167 is about 440.9040760236.

It can be divided in two parts, 8 and 5710167, that added together give a palindrome (5710175).

The spelling of 85710167 in words is "eighty-five million, seven hundred ten thousand, one hundred sixty-seven".