825272 has 16 divisors (see below), whose sum is σ = 1768560. Its totient is φ = 353664.

The previous prime is 825259. The next prime is 825277. The reversal of 825272 is 272528.

It is a d-powerful number, because it can be written as 8 + 2³ + 2⁶ + 5⁴ + 7⁷ + 2¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7313 + ... + 7424.

It is an arithmetic number, because the mean of its divisors is an integer number (110535).

2⁸²⁵²⁷² is an apocalyptic number.

It is an amenable number.

825272 is an abundant number, since it is smaller than the sum of its proper divisors (943288).

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

825272 is a wasteful number, since it uses less digits than its factorization.

825272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14750 (or 14746 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 825272 is about 908.4448249619. Note that the first 3 decimals coincide. The cubic root of 825272 is about 93.7991789382.

The spelling of 825272 in words is "eight hundred twenty-five thousand, two hundred seventy-two".