825316 has 24 divisors (see below), whose sum is σ = 1564920. Its totient is φ = 379392.

The previous prime is 825301. The next prime is 825329. The reversal of 825316 is 613528.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 518400 + 306916 = 720^2 + 554^2 .

It is a super-2 number, since 2×825316² = 1362292999712, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3490 + ... + 3718.

It is an arithmetic number, because the mean of its divisors is an integer number (65205).

2⁸²⁵³¹⁶ is an apocalyptic number.

It is an amenable number.

825316 is a deficient number, since it is larger than the sum of its proper divisors (739604).

825316 is a wasteful number, since it uses less digits than its factorization.

825316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 825316 is about 908.4690418501. The cubic root of 825316 is about 93.8008458999.

The spelling of 825316 in words is "eight hundred twenty-five thousand, three hundred sixteen".