803806821 has 48 divisors (see below), whose sum is σ = 1234379328. Its totient is φ = 522547200.

The previous prime is 803806813. The next prime is 803806853. The reversal of 803806821 is 128608308.

It is not a de Polignac number, because 803806821 - 2³ = 803806813 is a prime.

It is a super-2 number, since 2×803806821² = 1292210810972252082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803806621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3127525 + ... + 3127781.

It is an arithmetic number, because the mean of its divisors is an integer number (25716236).

Almost surely, 2^803806821 is an apocalyptic number.

803806821 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

803806821 is a deficient number, since it is larger than the sum of its proper divisors (430572507).

803806821 is a wasteful number, since it uses less digits than its factorization.

803806821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 803806821 is about 28351.4871038540. The cubic root of 803806821 is about 929.7879120946.

The spelling of 803806821 in words is "eight hundred three million, eight hundred six thousand, eight hundred twenty-one".