8009261 has 8 divisors (see below), whose sum is σ = 9132984. Its totient is φ = 6958080.

The previous prime is 8009237. The next prime is 8009291. The reversal of 8009261 is 1629008.

It can be written as a sum of positive squares in 4 ways, for example, as 361 + 8008900 = 19^2 + 2830^2 .

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 8009261 - 2¹⁰ = 8008237 is a prime.

It is a super-2 number, since 2×8009261² = 128296523532242, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8009261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17900 + ... + 18341.

It is an arithmetic number, because the mean of its divisors is an integer number (1141623).

Almost surely, 2^8009261 is an apocalyptic number.

It is an amenable number.

8009261 is a deficient number, since it is larger than the sum of its proper divisors (1123723).

8009261 is a wasteful number, since it uses less digits than its factorization.

8009261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36271.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 8009261 is about 2830.0637802000. The cubic root of 8009261 is about 200.0771452392.

The spelling of 8009261 in words is "eight million, nine thousand, two hundred sixty-one".