825704 has 24 divisors (see below), whose sum is σ = 1703730. Its totient is φ = 374880.

The previous prime is 825701. The next prime is 825709. The reversal of 825704 is 407528.

825704 = T₂₀₇ + T₂₀₈ + ... + T₂₃₉.

It can be written as a sum of positive squares in only one way, i.e., 813604 + 12100 = 902^2 + 110^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (825701) 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, 542 + ... + 1394.

2⁸²⁵⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851865).

825704 is an abundant number, since it is smaller than the sum of its proper divisors (878026).

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

825704 is a wasteful number, since it uses less digits than its factorization.

825704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 866 counting only the distinct ones).

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

The square root of 825704 is about 908.6825628348. The cubic root of 825704 is about 93.8155429074.

The spelling of 825704 in words is "eight hundred twenty-five thousand, seven hundred four".