34122 has 24 divisors (see below), whose sum is σ = 76608. Its totient is φ = 10120.

The previous prime is 34061. The next prime is 34123. The reversal of 34122 is 22143.

It is a junction number, because it is equal to n+sod(n) for n = 34098 and 34107.

It is not an unprimeable number, because it can be changed into a prime (34123) by changing a digit.

34122 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 11 ways as a sum of consecutive naturals, for example, 703 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2³⁴¹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

34122 is an abundant number, since it is smaller than the sum of its proper divisors (42486).

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

34122 is a wasteful number, since it uses less digits than its factorization.

34122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 34122 is about 184.7214118612. The cubic root of 34122 is about 32.4348200570.

Adding to 34122 its reverse (22143), we get a palindrome (56265).

It can be divided in two parts, 341 and 22, that added together give a palindrome (363).

The spelling of 34122 in words is "thirty-four thousand, one hundred twenty-two".