825406 has 8 divisors (see below), whose sum is σ = 1278144. Its totient is φ = 399360.

The previous prime is 825403. The next prime is 825413. The reversal of 825406 is 604528.

825406 = T₈₄ + T₈₅ + ... + T₁₇₆.

825406 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825403) 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, 6595 + ... + 6718.

It is an arithmetic number, because the mean of its divisors is an integer number (159768).

2⁸²⁵⁴⁰⁶ is an apocalyptic number.

825406 is a deficient number, since it is larger than the sum of its proper divisors (452738).

825406 is a wasteful number, since it uses less digits than its factorization.

825406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13346.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 825406 is about 908.5185743836. The cubic root of 825406 is about 93.8042554098.

The spelling of 825406 in words is "eight hundred twenty-five thousand, four hundred six".