825461 has 16 divisors (see below), whose sum is σ = 1042944. Its totient is φ = 635904.

The previous prime is 825443. The next prime is 825467. The reversal of 825461 is 164528.

825461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 825461 - 2⁶ = 825397 is a prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 825461.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825461.

It is not an unprimeable number, because it can be changed into a prime (825467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4181 + ... + 4373.

It is an arithmetic number, because the mean of its divisors is an integer number (65184).

2⁸²⁵⁴⁶¹ is an apocalyptic number.

It is an amenable number.

825461 is a deficient number, since it is larger than the sum of its proper divisors (217483).

825461 is a wasteful number, since it uses less digits than its factorization.

825461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260.

The product of its digits is 1920, while the sum is 26.

The square root of 825461 is about 908.5488429358. The cubic root of 825461 is about 93.8063388772.

Adding to 825461 its reverse (164528), we get a palindrome (989989).

The spelling of 825461 in words is "eight hundred twenty-five thousand, four hundred sixty-one".