35814 has 16 divisors (see below), whose sum is σ = 73728. Its totient is φ = 11592.

The previous prime is 35809. The next prime is 35831. The reversal of 35814 is 41853.

It is a plaindrome in base 13.

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 35814.

It is an unprimeable number.

35814 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 7 ways as a sum of consecutive naturals, for example, 219 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (4608).

2³⁵⁸¹⁴ is an apocalyptic number.

35814 is an abundant number, since it is smaller than the sum of its proper divisors (37914).

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 (36864).

35814 is a wasteful number, since it uses less digits than its factorization.

35814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its digits is 480, while the sum is 21.

The square root of 35814 is about 189.2458718176. The cubic root of 35814 is about 32.9623077452.

The spelling of 35814 in words is "thirty-five thousand, eight hundred fourteen".