223513 has 4 divisors (see below), whose sum is σ = 225828. Its totient is φ = 221200.

The previous prime is 223507. The next prime is 223529. The reversal of 223513 is 315322.

223513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 4489 = 468^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 223513 - 2⁵ = 223481 is a prime.

It is a super-2 number, since 2×223513² = 99916122338, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

223513 is a lucky number.

It is a nialpdrome in base 8 and base 12.

It is not an unprimeable number, because it can be changed into a prime (223543) 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, 1006 + ... + 1207.

It is an arithmetic number, because the mean of its divisors is an integer number (56457).

2²²³⁵¹³ is an apocalyptic number.

It is an amenable number.

223513 is a deficient number, since it is larger than the sum of its proper divisors (2315).

223513 is a wasteful number, since it uses less digits than its factorization.

223513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314.

The product of its digits is 180, while the sum is 16.

The square root of 223513 is about 472.7716150532. The cubic root of 223513 is about 60.6877350378.

Adding to 223513 its reverse (315322), we get a palindrome (538835).

Subtracting 223513 from its reverse (315322), we obtain a square (91809 = 303²).

The spelling of 223513 in words is "two hundred twenty-three thousand, five hundred thirteen".