34182 has 20 divisors (see below), whose sum is σ = 76956. Its totient is φ = 11340.

The previous prime is 34171. The next prime is 34183. The reversal of 34182 is 28143.

It is a happy number.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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 (34183) by changing a digit.

34182 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 57 + ... + 267.

2³⁴¹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38478).

34182 is an abundant number, since it is smaller than the sum of its proper divisors (42774).

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

34182 is a wasteful number, since it uses less digits than its factorization.

34182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 34182 is about 184.8837472576. The cubic root of 34182 is about 32.4538200145.

It can be divided in two parts, 34 and 182, that added together give a cube (216 = 6³).

The spelling of 34182 in words is "thirty-four thousand, one hundred eighty-two".