34806 has 8 divisors (see below), whose sum is σ = 69624. Its totient is φ = 11600.

The previous prime is 34781. The next prime is 34807. The reversal of 34806 is 60843.

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

34806 is an admirable number.

It is a super-2 number, since 2×34806² = 2422915272, which contains 22 as substring.

It is a nialpdrome in base 14.

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 34806.

It is not an unprimeable number, because it can be changed into a prime (34807) 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, 2895 + ... + 2906.

It is an arithmetic number, because the mean of its divisors is an integer number (8703).

2³⁴⁸⁰⁶ is an apocalyptic number.

34806 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 (34812).

34806 is a wasteful number, since it uses less digits than its factorization.

34806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5806.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34806 is about 186.5636620567. The cubic root of 34806 is about 32.6501142483.

It can be divided in two parts, 3480 and 6, that added together give a triangular number (3486 = T₈₃).

The spelling of 34806 in words is "thirty-four thousand, eight hundred six".