205458225 has 72 divisors (see below), whose sum is σ = 406099008. Its totient is φ = 91324800.

The previous prime is 205458221. The next prime is 205458259. The reversal of 205458225 is 522854502.

It is a happy number.

205458225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205458225 - 2² = 205458221 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (205458221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135220 + ... + 136730.

It is an arithmetic number, because the mean of its divisors is an integer number (5640264).

Almost surely, 2^205458225 is an apocalyptic number.

205458225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205458225 is a deficient number, since it is larger than the sum of its proper divisors (200640783).

205458225 is a wasteful number, since it uses less digits than its factorization.

205458225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 205458225 is about 14333.8140423266. The cubic root of 205458225 is about 590.0758544625.

The spelling of 205458225 in words is "two hundred five million, four hundred fifty-eight thousand, two hundred twenty-five".