205561948 has 24 divisors (see below), whose sum is σ = 381538080. Its totient is φ = 96697920.

The previous prime is 205561933. The next prime is 205561949. The reversal of 205561948 is 849165502.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 205561948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205561949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12703 + ... + 23926.

It is an arithmetic number, because the mean of its divisors is an integer number (15897420).

Almost surely, 2^205561948 is an apocalyptic number.

It is an amenable number.

205561948 is a deficient number, since it is larger than the sum of its proper divisors (175976132).

205561948 is a wasteful number, since it uses less digits than its factorization.

205561948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36717 (or 36715 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 205561948 is about 14337.4317086429. The cubic root of 205561948 is about 590.1751352146.

The spelling of 205561948 in words is "two hundred five million, five hundred sixty-one thousand, nine hundred forty-eight".