309223 has 2 divisors, whose sum is σ = 309224. Its totient is φ = 309222.

The previous prime is 309193. The next prime is 309241. The reversal of 309223 is 322903.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 309223 - 2¹⁷ = 178151 is a prime.

It is a d-powerful number, because it can be written as 3⁵ + 0 + 2⁵ + 9³ + 2¹⁷ + 3¹¹ .

It is equal to p₂₆₇₄₀ and since 309223 and 26740 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 309223.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (309293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 154611 + 154612.

It is an arithmetic number, because the mean of its divisors is an integer number (154612).

2³⁰⁹²²³ is an apocalyptic number.

309223 is a deficient number, since it is larger than the sum of its proper divisors (1).

309223 is an equidigital number, since it uses as much as digits as its factorization.

309223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 309223 is about 556.0782319063. The cubic root of 309223 is about 67.6224025047.

The spelling of 309223 in words is "three hundred nine thousand, two hundred twenty-three".