825220 has 48 divisors (see below), whose sum is σ = 1967616. Its totient is φ = 290400.

The previous prime is 825203. The next prime is 825229. The reversal of 825220 is 22528.

825220 = T₁₄₅ + T₁₄₆ + ... + T₁₉₉.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825229) by changing a digit.

825220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26605 + ... + 26635.

It is an arithmetic number, because the mean of its divisors is an integer number (40992).

2⁸²⁵²²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983808).

825220 is an abundant number, since it is smaller than the sum of its proper divisors (1142396).

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

825220 is a wasteful number, since it uses less digits than its factorization.

825220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 825220 is about 908.4162041708. The cubic root of 825220 is about 93.7972088161.

Adding to 825220 its reverse (22528), we get a palindrome (847748).

The spelling of 825220 in words is "eight hundred twenty-five thousand, two hundred twenty".