34540 has 24 divisors (see below), whose sum is σ = 79632. Its totient is φ = 12480.

The previous prime is 34537. The next prime is 34543. The reversal of 34540 is 4543.

34540 is digitally balanced in base 2, because in such base 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 (34537) and next prime (34543).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (34543) 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, 142 + ... + 298.

It is an arithmetic number, because the mean of its divisors is an integer number (3318).

2³⁴⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39816).

34540 is an abundant number, since it is smaller than the sum of its proper divisors (45092).

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

34540 is a wasteful number, since it uses less digits than its factorization.

34540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 34540 is about 185.8494013980. The cubic root of 34540 is about 32.5667268126.

The spelling of 34540 in words is "thirty-four thousand, five hundred forty".