828325 has 12 divisors (see below), whose sum is σ = 1088100. Its totient is φ = 623360.

The previous prime is 828277. The next prime is 828349. The reversal of 828325 is 523828.

828325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 23716 + 804609 = 154^2 + 897^2 .

It is not a de Polignac number, because 828325 - 2¹³ = 820133 is a prime.

It is a super-2 number, since 2×828325² = 1372244611250, which contains 22 as substring.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 828293 and 828302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550 + ... + 1399.

It is an arithmetic number, because the mean of its divisors is an integer number (90675).

2⁸²⁸³²⁵ is an apocalyptic number.

828325 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

828325 is a deficient number, since it is larger than the sum of its proper divisors (259775).

828325 is a wasteful number, since it uses less digits than its factorization.

828325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1971 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 828325 is about 910.1236179773. The cubic root of 828325 is about 93.9147030674.

The spelling of 828325 in words is "eight hundred twenty-eight thousand, three hundred twenty-five".