223085313 has 64 divisors (see below), whose sum is σ = 380160000. Its totient is φ = 128036160.

The previous prime is 223085311. The next prime is 223085323. The reversal of 223085313 is 313580322.

It is not a de Polignac number, because 223085313 - 2¹ = 223085311 is a prime.

It is a super-3 number, since 3×223085313³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (223085311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507948 + ... + 508386.

It is an arithmetic number, because the mean of its divisors is an integer number (5940000).

Almost surely, 2^223085313 is an apocalyptic number.

It is an amenable number.

223085313 is a deficient number, since it is larger than the sum of its proper divisors (157074687).

223085313 is a wasteful number, since it uses less digits than its factorization.

223085313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 223085313 is about 14936.0407404372. The cubic root of 223085313 is about 606.4900212603.

The spelling of 223085313 in words is "two hundred twenty-three million, eighty-five thousand, three hundred thirteen".