34506 has 24 divisors (see below), whose sum is σ = 78624. Its totient is φ = 11340.

The previous prime is 34501. The next prime is 34511. The reversal of 34506 is 60543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34501) and next prime (34511).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34501) 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 11 ways as a sum of consecutive naturals, for example, 451 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2³⁴⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

34506 is an abundant number, since it is smaller than the sum of its proper divisors (44118).

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

34506 is an equidigital number, since it uses as much as digits as its factorization.

34506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34506 is about 185.7579069650. The cubic root of 34506 is about 32.5560374454.

The spelling of 34506 in words is "thirty-four thousand, five hundred six".