71814 has 8 divisors (see below), whose sum is σ = 143640. Its totient is φ = 23936.

The previous prime is 71809. The next prime is 71821. The reversal of 71814 is 41817.

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

71814 is an admirable number.

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 71814.

It is an unprimeable number.

71814 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5979 + ... + 5990.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2⁷¹⁸¹⁴ is an apocalyptic number.

71814 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820).

71814 is a wasteful number, since it uses less digits than its factorization.

71814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11974.

The product of its digits is 224, while the sum is 21.

The square root of 71814 is about 267.9813426341. The cubic root of 71814 is about 41.5658219027.

The spelling of 71814 in words is "seventy-one thousand, eight hundred fourteen".