826281 has 15 divisors (see below), whose sum is σ = 1246663. Its totient is φ = 545400.

The previous prime is 826271. The next prime is 826283. The reversal of 826281 is 182628.

The square root of 826281 is 909.

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

It can be written as a sum of positive squares in only one way, i.e., 793881 + 32400 = 891^2 + 180^2 .

It is not a de Polignac number, because 826281 - 2⁷ = 826153 is a prime.

It is a super-2 number, since 2×826281² = 1365480581922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (826283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8131 + ... + 8231.

2⁸²⁶²⁸¹ is an apocalyptic number.

826281 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

826281 is the 909-th square number.

826281 is the 455-th centered octagonal number.

It is an amenable number.

826281 is a deficient number, since it is larger than the sum of its proper divisors (420382).

826281 is an equidigital number, since it uses as much as digits as its factorization.

826281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 104 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The cubic root of 826281 is about 93.8373905123.

826281 divided by its sum of digits (27) gives a palindrome (30603).

The spelling of 826281 in words is "eight hundred twenty-six thousand, two hundred eighty-one".