825724 has 12 divisors (see below), whose sum is σ = 1530144. Its totient is φ = 388544.

The previous prime is 825709. The next prime is 825733. The reversal of 825724 is 427528.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8 + 2⁹ + 7⁷ + 5³ + 2⁹ + 4⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 825692 and 825701.

It is a congruent number.

It is an unprimeable number.

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, 6004 + ... + 6139.

It is an arithmetic number, because the mean of its divisors is an integer number (127512).

2⁸²⁵⁷²⁴ is an apocalyptic number.

It is an amenable number.

825724 is a deficient number, since it is larger than the sum of its proper divisors (704420).

825724 is a wasteful number, since it uses less digits than its factorization.

825724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12164 (or 12162 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 825724 is about 908.6935677114. The cubic root of 825724 is about 93.8163003603.

It can be divided in two parts, 8257 and 24, that added together give a square (8281 = 91²).

The spelling of 825724 in words is "eight hundred twenty-five thousand, seven hundred twenty-four".