34590 has 16 divisors (see below), whose sum is σ = 83088. Its totient is φ = 9216.

The previous prime is 34589. The next prime is 34591. The reversal of 34590 is 9543.

34590 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34589) and next prime (34591).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (5193).

2³⁴⁵⁹⁰ is an apocalyptic number.

34590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34590 is an abundant number, since it is smaller than the sum of its proper divisors (48498).

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 (41544).

34590 is a wasteful number, since it uses less digits than its factorization.

34590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 34590 is about 185.9838702684. The cubic root of 34590 is about 32.5824337345.

It can be divided in two parts, 345 and 90, that added together give a triangular number (435 = T₂₉).

The spelling of 34590 in words is "thirty-four thousand, five hundred ninety".