825390 has 40 divisors (see below), whose sum is σ = 2221560. Its totient is φ = 219888.

The previous prime is 825389. The next prime is 825397. The reversal of 825390 is 93528.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825397) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 301 + ... + 1319.

It is an arithmetic number, because the mean of its divisors is an integer number (55539).

2⁸²⁵³⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110780).

825390 is an abundant number, since it is smaller than the sum of its proper divisors (1396170).

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

825390 is a wasteful number, since it uses less digits than its factorization.

825390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 825390 is about 908.5097687972. The cubic root of 825390 is about 93.8036492928.

The spelling of 825390 in words is "eight hundred twenty-five thousand, three hundred ninety".