825144 has 16 divisors (see below), whose sum is σ = 2062920. Its totient is φ = 275040.

The previous prime is 825131. The next prime is 825161. The reversal of 825144 is 441528.

825144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 34381 = 825144 / (8 + 2 + 5 + 1 + 4 + 4).

It is a congruent number.

It is an unprimeable number.

825144 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 3 ways as a sum of consecutive naturals, for example, 17167 + ... + 17214.

2⁸²⁵¹⁴⁴ is an apocalyptic number.

It is an amenable number.

825144 is an abundant number, since it is smaller than the sum of its proper divisors (1237776).

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

825144 is a wasteful number, since it uses less digits than its factorization.

825144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34390 (or 34386 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 825144 is about 908.3743721616. The cubic root of 825144 is about 93.7943292580.

It can be divided in two parts, 825 and 144, that added together give a palindrome (969).

The spelling of 825144 in words is "eight hundred twenty-five thousand, one hundred forty-four".