225729407 has 2 divisors, whose sum is σ = 225729408. Its totient is φ = 225729406.

The previous prime is 225729397. The next prime is 225729421. The reversal of 225729407 is 704927522.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 225729407 - 2¹⁴ = 225713023 is a prime.

It is a super-3 number, since 3×225729407³ (a number of 26 digits) contains 333 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 (225725407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112864703 + 112864704.

It is an arithmetic number, because the mean of its divisors is an integer number (112864704).

Almost surely, 2^225729407 is an apocalyptic number.

225729407 is a deficient number, since it is larger than the sum of its proper divisors (1).

225729407 is an equidigital number, since it uses as much as digits as its factorization.

225729407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 225729407 is about 15024.2938935579. The cubic root of 225729407 is about 608.8767351631.

The spelling of 225729407 in words is "two hundred twenty-five million, seven hundred twenty-nine thousand, four hundred seven".