825734 has 24 divisors (see below), whose sum is σ = 1537200. Its totient is φ = 325728.

The previous prime is 825733. The next prime is 825739. The reversal of 825734 is 437528.

825734 = 246² + 247² + ... + 258².

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 825697 and 825706.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2192 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (64050).

2⁸²⁵⁷³⁴ is an apocalyptic number.

825734 is a deficient number, since it is larger than the sum of its proper divisors (711466).

825734 is a wasteful number, since it uses less digits than its factorization.

825734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 825734 is about 908.6990700997. The cubic root of 825734 is about 93.8166790822.

It can be divided in two parts, 825 and 734, that multiplied together give a triangular number (605550 = T₁₁₀₀).

The spelling of 825734 in words is "eight hundred twenty-five thousand, seven hundred thirty-four".