827448 has 32 divisors (see below), whose sum is σ = 2160000. Its totient is φ = 263648.

The previous prime is 827447. The next prime is 827461. The reversal of 827448 is 844728.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (67500).

2⁸²⁷⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

827448 is an abundant number, since it is smaller than the sum of its proper divisors (1332552).

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

827448 is a wasteful number, since it uses less digits than its factorization.

827448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1527 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 827448 is about 909.6416876991. The cubic root of 827448 is about 93.8815468870.

It can be divided in two parts, 827 and 448, that added together give a triangular number (1275 = T₅₀).

The spelling of 827448 in words is "eight hundred twenty-seven thousand, four hundred forty-eight".