85814 has 8 divisors (see below), whose sum is σ = 130248. Its totient is φ = 42400.

The previous prime is 85793. The next prime is 85817. The reversal of 85814 is 41858.

It is a sphenic number, since it is the product of 3 distinct primes.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 85814.

It is not an unprimeable number, because it can be changed into a prime (85817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (16281).

2^{85814} is an apocalyptic number.

85814 is a deficient number, since it is larger than the sum of its proper divisors (44434).

85814 is a wasteful number, since it uses less digits than its factorization.

85814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510.

The product of its digits is 1280, while the sum is 26.

The square root of 85814 is about 292.9402669487. The cubic root of 85814 is about 44.1082047592.

Subtracting from 85814 its reverse (41858), we obtain a triangular number (43956 = T_{296}).

The spelling of 85814 in words is "eighty-five thousand, eight hundred fourteen".

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