34530 has 16 divisors (see below), whose sum is σ = 82944. Its totient is φ = 9200.

The previous prime is 34519. The next prime is 34537. The reversal of 34530 is 3543.

34530 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

34530 is strictly pandigital in base 6.

It is a Curzon number.

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

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 7 ways as a sum of consecutive naturals, for example, 546 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2³⁴⁵³⁰ is an apocalyptic number.

34530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34530 is an abundant number, since it is smaller than the sum of its proper divisors (48414).

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 (41472).

34530 is a wasteful number, since it uses less digits than its factorization.

34530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 34530 is about 185.8224959471. The cubic root of 34530 is about 32.5635836095.

The spelling of 34530 in words is "thirty-four thousand, five hundred thirty".