34146 has 24 divisors (see below), whose sum is σ = 84864. Its totient is φ = 9720.

The previous prime is 34141. The next prime is 34147. The reversal of 34146 is 64143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3⁴ + 4⁷ + 1 + 4⁷ + 6⁴ .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (3536).

2³⁴¹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42432).

34146 is an abundant number, since it is smaller than the sum of its proper divisors (50718).

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

34146 is a wasteful number, since it uses less digits than its factorization.

34146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 34146 is about 184.7863631332. The cubic root of 34146 is about 32.4424227106.

Adding to 34146 its reverse (64143), we get a palindrome (98289).

The spelling of 34146 in words is "thirty-four thousand, one hundred forty-six".