4321 has 4 divisors (see below), whose sum is σ = 4500. Its totient is φ = 4144.

The previous prime is 4297. The next prime is 4327. The reversal of 4321 is 1234.

4321 is nontrivially palindromic in base 2.

4321 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 an emirpimes, since its reverse is a distinct semiprime: 1234 = 2 ⋅617.

It can be written as a sum of positive squares in 2 ways, for example, as 1296 + 3025 = 36^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 4321 - 2^{5} = 4289 is a prime.

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

It is a Duffinian number.

4321 is a lucky number.

It is a straight-line number, since its digits are in arithmetic progression.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4298 and 4307.

It is not an unprimeable number, because it can be changed into a prime (4327) 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, 46 + ... + 103.

It is an arithmetic number, because the mean of its divisors is an integer number (1125).

2^{4321} is an apocalyptic number.

It is an amenable number.

4321 is a deficient number, since it is larger than the sum of its proper divisors (179).

4321 is a wasteful number, since it uses less digits than its factorization.

4321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178.

The product of its digits is 24, while the sum is 10.

The square root of 4321 is about 65.7343137182. The cubic root of 4321 is about 16.2877622774.

Adding to 4321 its reverse (1234), we get a palindrome (5555).

It can be divided in two parts, 43 and 21, that multiplied together give a triangular number (903 = T_{42}).

The spelling of 4321 in words is "four thousand, three hundred twenty-one", and thus it is an iban number.

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