225919 has 2 divisors, whose sum is σ = 225920. Its totient is φ = 225918.

The previous prime is 225889. The next prime is 225931. The reversal of 225919 is 919522.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 225919 - 2¹³ = 217727 is a prime.

It is a super-2 number, since 2×225919² = 102078789122, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225949) 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, 112959 + 112960.

It is an arithmetic number, because the mean of its divisors is an integer number (112960).

2²²⁵⁹¹⁹ is an apocalyptic number.

225919 is a deficient number, since it is larger than the sum of its proper divisors (1).

225919 is an equidigital number, since it uses as much as digits as its factorization.

225919 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 28.

The square root of 225919 is about 475.3093729351. The cubic root of 225919 is about 60.9047155231.

It can be divided in two parts, 2259 and 19, that added together give a triangular number (2278 = T₆₇).

The spelling of 225919 in words is "two hundred twenty-five thousand, nine hundred nineteen".