22313 has 4 divisors (see below), whose sum is σ = 22788. Its totient is φ = 21840.

The previous prime is 22307. The next prime is 22343. The reversal of 22313 is 31322.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31322 = 2 ⋅15661.

It can be written as a sum of positive squares in 2 ways, for example, as 5929 + 16384 = 77^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 22313 - 2¹² = 18217 is a prime.

It is a super-3 number, since 3×22313³ = 33326917854891, which contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22294 and 22303.

It is not an unprimeable number, because it can be changed into a prime (22303) 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, 158 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (5697).

2²²³¹³ is an apocalyptic number.

It is an amenable number.

22313 is a deficient number, since it is larger than the sum of its proper divisors (475).

22313 is an equidigital number, since it uses as much as digits as its factorization.

22313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474.

The product of its digits is 36, while the sum is 11.

The square root of 22313 is about 149.3753661083. The cubic root of 22313 is about 28.1526526383.

Adding to 22313 its reverse (31322), we get a palindrome (53635).

Subtracting 22313 from its reverse (31322), we obtain a palindrome (9009).

It can be divided in two parts, 22 and 313, that multiplied together give a palindrome (6886).

The spelling of 22313 in words is "twenty-two thousand, three hundred thirteen".