803649 has 32 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 411600.

The previous prime is 803629. The next prime is 803651. The reversal of 803649 is 946308.

It is not a de Polignac number, because 803649 - 2⁸ = 803393 is a prime.

803649 is a lucky number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (803609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11284 + ... + 11354.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

2⁸⁰³⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

803649 is a deficient number, since it is larger than the sum of its proper divisors (578751).

803649 is a wasteful number, since it uses less digits than its factorization.

803649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 803649 is about 896.4647232323. The cubic root of 803649 is about 92.9727055987.

The spelling of 803649 in words is "eight hundred three thousand, six hundred forty-nine".