34314 has 32 divisors (see below), whose sum is σ = 84480. Its totient is φ = 9072.

The previous prime is 34313. The next prime is 34319. The reversal of 34314 is 41343.

34314 is an undulating number in base 7.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 34293 and 34302.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34314.

It is not an unprimeable number, because it can be changed into a prime (34313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 777 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (2640).

2³⁴³¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42240).

34314 is an abundant number, since it is smaller than the sum of its proper divisors (50166).

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

34314 is a wasteful number, since it uses less digits than its factorization.

34314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

The product of its digits is 144, while the sum is 15.

The square root of 34314 is about 185.2403843658. The cubic root of 34314 is about 32.4955417948.

Adding to 34314 its reverse (41343), we get a palindrome (75657).

The spelling of 34314 in words is "thirty-four thousand, three hundred fourteen".