56321 has 4 divisors (see below), whose sum is σ = 59652. Its totient is φ = 52992.

The previous prime is 56311. The next prime is 56333. The reversal of 56321 is 12365.

56321 = 23² + 24² + ... + 56².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12365 = 5 ⋅2473.

It can be written as a sum of positive squares in 2 ways, for example, as 48400 + 7921 = 220^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 56321 - 2¹⁴ = 39937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 3313 = 56321 / (5 + 6 + 3 + 2 + 1).

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

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56321.

It is not an unprimeable number, because it can be changed into a prime (56311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1640 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (14913).

It is a Proth number, since it is equal to 55 ⋅ 2¹⁰ + 1 and 55 < 2¹⁰.

2⁵⁶³²¹ is an apocalyptic number.

It is an amenable number.

56321 is a deficient number, since it is larger than the sum of its proper divisors (3331).

56321 is a wasteful number, since it uses less digits than its factorization.

56321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330.

The product of its digits is 180, while the sum is 17.

The square root of 56321 is about 237.3204584523. The cubic root of 56321 is about 38.3315857216.

Adding to 56321 its reverse (12365), we get a palindrome (68686).

Subtracting from 56321 its reverse (12365), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 56321 in words is "fifty-six thousand, three hundred twenty-one".