34512 has 20 divisors (see below), whose sum is σ = 89280. Its totient is φ = 11488.

The previous prime is 34511. The next prime is 34513. The reversal of 34512 is 21543.

It is an interprime number because it is at equal distance from previous prime (34511) and next prime (34513).

It is a junction number, because it is equal to n+sod(n) for n = 34491 and 34500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2³⁴⁵¹² is an apocalyptic number.

It is an amenable number.

34512 is an abundant number, since it is smaller than the sum of its proper divisors (54768).

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 (44640).

34512 is a wasteful number, since it uses less digits than its factorization.

34512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 34512 is about 185.7740563157. The cubic root of 34512 is about 32.5579243144.

The spelling of 34512 in words is "thirty-four thousand, five hundred twelve".