34536 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 11504.

The previous prime is 34519. The next prime is 34537. The reversal of 34536 is 63543.

It is not an unprimeable number, because it can be changed into a prime (34537) by changing a digit.

34536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 696 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2³⁴⁵³⁶ is an apocalyptic number.

It is an amenable number.

34536 is an abundant number, since it is smaller than the sum of its proper divisors (51864).

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 (43200).

34536 is a wasteful number, since it uses less digits than its factorization.

34536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1444 counting only the distinct ones).

The product of its digits is 1080, while the sum is 21.

The square root of 34536 is about 185.8386396851. The cubic root of 34536 is about 32.5654696041.

The spelling of 34536 in words is "thirty-four thousand, five hundred thirty-six".