803609104 has 45 divisors (see below), whose sum is σ = 1647669933. Its totient is φ = 379636416.

The previous prime is 803609101. The next prime is 803609113. The reversal of 803609104 is 401906308.

The square root of 803609104 is 28348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 436810000 + 366799104 = 20900^2 + 19152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (803609101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2154262 + ... + 2154634.

Almost surely, 2^803609104 is an apocalyptic number.

803609104 is the 28348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803609104

803609104 is an abundant number, since it is smaller than the sum of its proper divisors (844060829).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

803609104 is an equidigital number, since it uses as much as digits as its factorization.

803609104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 803609104 is about 929.7116707445.

Multiplying 803609104 by its product of nonzero digits (5184), we get a square (4165909595136 = 2041056²).

The spelling of 803609104 in words is "eight hundred three million, six hundred nine thousand, one hundred four".