205648353 has 12 divisors (see below), whose sum is σ = 300627600. Its totient is φ = 135446616.

The previous prime is 205648319. The next prime is 205648357. The reversal of 205648353 is 353846502.

It is a happy number.

205648353 is a `hidden beast` number, since 2 + 0 + 5 + 648 + 3 + 5 + 3 = 666.

It is not a de Polignac number, because 205648353 - 2¹⁰ = 205647329 is a prime.

It is a super-2 number, since 2×205648353² = 84582490183225218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205648357) 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 in 11 ways as a sum of consecutive naturals, for example, 136903 + ... + 138396.

It is an arithmetic number, because the mean of its divisors is an integer number (25052300).

Almost surely, 2^205648353 is an apocalyptic number.

It is an amenable number.

205648353 is a deficient number, since it is larger than the sum of its proper divisors (94979247).

205648353 is a wasteful number, since it uses less digits than its factorization.

205648353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275388 (or 275385 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 205648353 is about 14340.4446583779. Note that the first 3 decimals coincide. The cubic root of 205648353 is about 590.2578141667.

The spelling of 205648353 in words is "two hundred five million, six hundred forty-eight thousand, three hundred fifty-three".