820735003 has 16 divisors (see below), whose sum is σ = 935251200. Its totient is φ = 713371680.

The previous prime is 820734997. The next prime is 820735049. The reversal of 820735003 is 300537028.

It is a cyclic number.

It is not a de Polignac number, because 820735003 - 2⁹ = 820734491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820735303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20368 + ... + 45346.

It is an arithmetic number, because the mean of its divisors is an integer number (58453200).

Almost surely, 2^820735003 is an apocalyptic number.

820735003 is a deficient number, since it is larger than the sum of its proper divisors (114516197).

820735003 is a wasteful number, since it uses less digits than its factorization.

820735003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25122.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 820735003 is about 28648.4729610498. The cubic root of 820735003 is about 936.2697355381.

The spelling of 820735003 in words is "eight hundred twenty million, seven hundred thirty-five thousand, three".