8204261 has 12 divisors (see below), whose sum is σ = 9243948. Its totient is φ = 7237824.

The previous prime is 8204239. The next prime is 8204267. The reversal of 8204261 is 1624028.

It can be written as a sum of positive squares in 2 ways, for example, as 2592100 + 5612161 = 1610^2 + 2369^2 .

It is not a de Polignac number, because 8204261 - 2¹⁴ = 8187877 is a prime.

It is a super-2 number, since 2×8204261² = 134619797112242, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8204267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6281 + ... + 7473.

It is an arithmetic number, because the mean of its divisors is an integer number (770329).

Almost surely, 2^8204261 is an apocalyptic number.

It is an amenable number.

8204261 is a deficient number, since it is larger than the sum of its proper divisors (1039687).

8204261 is a wasteful number, since it uses less digits than its factorization.

8204261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 8204261 is about 2864.3081189006. The cubic root of 8204261 is about 201.6878900627.

Adding to 8204261 its reverse (1624028), we get a palindrome (9828289).

The spelling of 8204261 in words is "eight million, two hundred four thousand, two hundred sixty-one".