803641 has 8 divisors (see below), whose sum is σ = 872424. Its totient is φ = 737280.

The previous prime is 803629. The next prime is 803651. The reversal of 803641 is 146308.

It can be written as a sum of positive squares in 4 ways, for example, as 129600 + 674041 = 360^2 + 821^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(803641) divides (803641-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 803641 - 2⁵ = 803609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (803611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 1273.

It is an arithmetic number, because the mean of its divisors is an integer number (109053).

2⁸⁰³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

803641 is a deficient number, since it is larger than the sum of its proper divisors (68783).

803641 is a wasteful number, since it uses less digits than its factorization.

803641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 803641 is about 896.4602612498. The cubic root of 803641 is about 92.9723970958.

Adding to 803641 its reverse (146308), we get a palindrome (949949).

It can be divided in two parts, 8036 and 41, that multiplied together give a square (329476 = 574²).

The spelling of 803641 in words is "eight hundred three thousand, six hundred forty-one".