205752963 has 24 divisors (see below), whose sum is σ = 308874832. Its totient is φ = 121099968.

The previous prime is 205752961. The next prime is 205752973. The reversal of 205752963 is 369257502.

It is not a de Polignac number, because 205752963 - 2¹ = 205752961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205752961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15645 + ... + 25617.

Almost surely, 2^205752963 is an apocalyptic number.

205752963 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

205752963 is a deficient number, since it is larger than the sum of its proper divisors (103121869).

205752963 is a wasteful number, since it uses less digits than its factorization.

205752963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 205752963 is about 14344.0915710964. The cubic root of 205752963 is about 590.3578820773.

The spelling of 205752963 in words is "two hundred five million, seven hundred fifty-two thousand, nine hundred sixty-three".