825948 has 18 divisors (see below), whose sum is σ = 2087904. Its totient is φ = 275304.

The previous prime is 825947. The next prime is 825959. The reversal of 825948 is 849528.

825948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22943 = 825948 / (8 + 2 + 5 + 9 + 4 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825947) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11436 + ... + 11507.

2⁸²⁵⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

825948 is an abundant number, since it is smaller than the sum of its proper divisors (1261956).

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

825948 is a wasteful number, since it uses less digits than its factorization.

825948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22953 (or 22948 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 825948 is about 908.8168132248. The cubic root of 825948 is about 93.8247829975.

The spelling of 825948 in words is "eight hundred twenty-five thousand, nine hundred forty-eight".