205072803 has 32 divisors (see below), whose sum is σ = 331266880. Its totient is φ = 126181152.

The previous prime is 205072801. The next prime is 205072823. The reversal of 205072803 is 308270502.

It is not a de Polignac number, because 205072803 - 2¹ = 205072801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205072801) 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 31 ways as a sum of consecutive naturals, for example, 24825 + ... + 32037.

It is an arithmetic number, because the mean of its divisors is an integer number (10352090).

Almost surely, 2^205072803 is an apocalyptic number.

205072803 is a deficient number, since it is larger than the sum of its proper divisors (126194077).

205072803 is an frugal number, since it uses more digits than its factorization.

205072803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 205072803 is about 14320.3632286336. The cubic root of 205072803 is about 589.7066462754.

The spelling of 205072803 in words is "two hundred five million, seventy-two thousand, eight hundred three".