804913641 has 45 divisors (see below), whose sum is σ = 1363411959. Its totient is φ = 457567488.

The previous prime is 804913639. The next prime is 804913657. The reversal of 804913641 is 146319408.

The square root of 804913641 is 28371.

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

804913641 is a `hidden beast` number, since 8 + 0 + 4 + 9 + 1 + 3 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195021225 + 609892416 = 13965^2 + 24696^2 .

It is not a de Polignac number, because 804913641 - 2¹ = 804913639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 804913596 and 804913605.

It is not an unprimeable number, because it can be changed into a prime (804913621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4170441 + ... + 4170633.

Almost surely, 2^804913641 is an apocalyptic number.

804913641 is the 28371-st square number.

804913641 is the 14186-th centered octagonal number.

It is an amenable number.

804913641 is a deficient number, since it is larger than the sum of its proper divisors (558498318).

804913641 is an frugal number, since it uses more digits than its factorization.

804913641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 804913641 is about 930.2144805353.

Multiplying 804913641 by its sum of digits (36), we get a square (28976891076 = 170226²).

Multiplying 804913641 by its product of nonzero digits (20736), we get a square (16690689259776 = 4085424²).

The spelling of 804913641 in words is "eight hundred four million, nine hundred thirteen thousand, six hundred forty-one".