34321 has 4 divisors (see below), whose sum is σ = 39232. Its totient is φ = 29412.

The previous prime is 34319. The next prime is 34327. The reversal of 34321 is 12343.

34321 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 34321 - 2¹ = 34319 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

34321 is a lucky number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34327) 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 3 ways as a sum of consecutive naturals, for example, 2445 + ... + 2458.

It is an arithmetic number, because the mean of its divisors is an integer number (9808).

2³⁴³²¹ is an apocalyptic number.

It is an amenable number.

34321 is a deficient number, since it is larger than the sum of its proper divisors (4911).

34321 is an equidigital number, since it uses as much as digits as its factorization.

34321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910.

The product of its digits is 72, while the sum is 13.

The square root of 34321 is about 185.2592777704. The cubic root of 34321 is about 32.4977513237.

Adding to 34321 its reverse (12343), we get a palindrome (46664).

The spelling of 34321 in words is "thirty-four thousand, three hundred twenty-one".