825738 has 8 divisors (see below), whose sum is σ = 1651488. Its totient is φ = 275244.

The previous prime is 825733. The next prime is 825739. The reversal of 825738 is 837528.

It is a sphenic number, since it is the product of 3 distinct primes.

825738 is an admirable number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 825699 and 825708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825738.

It is not an unprimeable number, because it can be changed into a prime (825733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68806 + ... + 68817.

It is an arithmetic number, because the mean of its divisors is an integer number (206436).

2⁸²⁵⁷³⁸ is an apocalyptic number.

825738 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

825738 is a wasteful number, since it uses less digits than its factorization.

825738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137628.

The product of its digits is 13440, while the sum is 33.

The square root of 825738 is about 908.7012710457. The cubic root of 825738 is about 93.8168305701.

The spelling of 825738 in words is "eight hundred twenty-five thousand, seven hundred thirty-eight".