34132 has 24 divisors (see below), whose sum is σ = 72576. Its totient is φ = 13728.

The previous prime is 34129. The next prime is 34141. The reversal of 34132 is 23143.

It is a nialpdrome in base 14 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618 + ... + 670.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2³⁴¹³² 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 34132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

34132 is an abundant number, since it is smaller than the sum of its proper divisors (38444).

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

34132 is a wasteful number, since it uses less digits than its factorization.

34132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its digits is 72, while the sum is 13.

The square root of 34132 is about 184.7484776663. The cubic root of 34132 is about 32.4379882624.

Adding to 34132 its reverse (23143), we get a palindrome (57275).

It can be divided in two parts, 341 and 32, that added together give a palindrome (373).

The spelling of 34132 in words is "thirty-four thousand, one hundred thirty-two".