825041 has 8 divisors (see below), whose sum is σ = 965184. Its totient is φ = 690480.

The previous prime is 825029. The next prime is 825047. The reversal of 825041 is 140528.

825041 = T₁₇₄ + T₁₇₅ + ... + T₂₁₆.

825041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 825041 - 2⁶ = 824977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (825047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1070 + ... + 1671.

It is an arithmetic number, because the mean of its divisors is an integer number (120648).

2⁸²⁵⁰⁴¹ is an apocalyptic number.

It is an amenable number.

825041 is a deficient number, since it is larger than the sum of its proper divisors (140143).

825041 is a wasteful number, since it uses less digits than its factorization.

825041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 825041 is about 908.3176757060. The cubic root of 825041 is about 93.7904264169.

Adding to 825041 its reverse (140528), we get a palindrome (965569).

The spelling of 825041 in words is "eight hundred twenty-five thousand, forty-one".