824261 has 4 divisors (see below), whose sum is σ = 832524. Its totient is φ = 816000.

The previous prime is 824233. The next prime is 824269. The reversal of 824261 is 162428.

824261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 592900 + 231361 = 770^2 + 481^2 .

It is a cyclic number.

It is not a de Polignac number, because 824261 - 2¹⁰ = 823237 is a prime.

It is a super-2 number, since 2×824261² = 1358812392242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3980 + ... + 4181.

It is an arithmetic number, because the mean of its divisors is an integer number (208131).

2⁸²⁴²⁶¹ is an apocalyptic number.

It is an amenable number.

824261 is a deficient number, since it is larger than the sum of its proper divisors (8263).

824261 is a wasteful number, since it uses less digits than its factorization.

824261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262.

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

The square root of 824261 is about 907.8882089773. Note that the first 3 decimals coincide. The cubic root of 824261 is about 93.7608603715.

Adding to 824261 its reverse (162428), we get a palindrome (986689).

The spelling of 824261 in words is "eight hundred twenty-four thousand, two hundred sixty-one".