8036041 has 8 divisors (see below), whose sum is σ = 8865864. Its totient is φ = 7236480.

The previous prime is 8036011. The next prime is 8036051. The reversal of 8036041 is 1406308.

8036041 = 2004² + 2005².

It can be written as a sum of positive squares in 4 ways, for example, as 1166400 + 6869641 = 1080^2 + 2621^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 8036041 - 2⁹ = 8035529 is a prime.

It is a Duffinian number.

8036041 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8036011) 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, 7006 + ... + 8071.

It is an arithmetic number, because the mean of its divisors is an integer number (1108233).

Almost surely, 2^8036041 is an apocalyptic number.

8036041 is the 2005-th centered square number.

It is an amenable number.

8036041 is a deficient number, since it is larger than the sum of its proper divisors (829823).

8036041 is a wasteful number, since it uses less digits than its factorization.

8036041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131.

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

The square root of 8036041 is about 2834.7911739668. The cubic root of 8036041 is about 200.2998917666.

The spelling of 8036041 in words is "eight million, thirty-six thousand, forty-one".