34180 has 12 divisors (see below), whose sum is σ = 71820. Its totient is φ = 13664.

The previous prime is 34171. The next prime is 34183. The reversal of 34180 is 8143.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 24964 = 96^2 + 158^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (34183) by changing a digit.

34180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 835 + ... + 874.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2³⁴¹⁸⁰ is an apocalyptic number.

It is an amenable number.

34180 is an abundant number, since it is smaller than the sum of its proper divisors (37640).

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 (35910).

34180 is a wasteful number, since it uses less digits than its factorization.

34180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 34180 is about 184.8783383742. The cubic root of 34180 is about 32.4531870409.

The spelling of 34180 in words is "thirty-four thousand, one hundred eighty".