225082181 has 2 divisors, whose sum is σ = 225082182. Its totient is φ = 225082180.

The previous prime is 225082171. The next prime is 225082183. The reversal of 225082181 is 181280522.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219484225 + 5597956 = 14815^2 + 2366^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-225082181 is a prime.

It is a super-2 number, since 2×225082181² = 101323976407433522, which contains 22 as substring.

Together with 225082183, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_12387170 and since 225082181 and 12387170 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225082183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112541090 + 112541091.

It is an arithmetic number, because the mean of its divisors is an integer number (112541091).

Almost surely, 2^225082181 is an apocalyptic number.

It is an amenable number.

225082181 is a deficient number, since it is larger than the sum of its proper divisors (1).

225082181 is an equidigital number, since it uses as much as digits as its factorization.

225082181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 225082181 is about 15002.7391165747. The cubic root of 225082181 is about 608.2942411276.

The spelling of 225082181 in words is "two hundred twenty-five million, eighty-two thousand, one hundred eighty-one".