223275 has 24 divisors (see below), whose sum is σ = 399280. Its totient is φ = 109440.

The previous prime is 223273. The next prime is 223277. The reversal of 223275 is 572322.

223275 = 125² + 126² + ... + 137².

223275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223273) and next prime (223277).

It is not a de Polignac number, because 223275 - 2¹ = 223273 is a prime.

It is a super-3 number, since 3×223275³ = 33391932116765625, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861 + ... + 1089.

2²²³²⁷⁵ is an apocalyptic number.

223275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

223275 is a deficient number, since it is larger than the sum of its proper divisors (176005).

223275 is a wasteful number, since it uses less digits than its factorization.

223275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 250 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 223275 is about 472.5198408533. The cubic root of 223275 is about 60.6661869838. Note that the first 3 decimals are identical.

Adding to 223275 its product of digits (840), we get a triangular number (224115 = T₆₆₉).

Adding to 223275 its reverse (572322), we get a palindrome (795597).

The spelling of 223275 in words is "two hundred twenty-three thousand, two hundred seventy-five".