825435 has 48 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 377856.

The previous prime is 825421. The next prime is 825439. The reversal of 825435 is 534528.

825435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

825435 is an admirable number.

It is not a de Polignac number, because 825435 - 2⁵ = 825403 is a prime.

825435 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 825399 and 825408.

It is not an unprimeable number, because it can be changed into a prime (825439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9904 + ... + 9986.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁸²⁵⁴³⁵ is an apocalyptic number.

825435 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

825435 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825435 is a wasteful number, since it uses less digits than its factorization.

825435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 121 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 825435 is about 908.5345342913. The cubic root of 825435 is about 93.8053539769.

The spelling of 825435 in words is "eight hundred twenty-five thousand, four hundred thirty-five".