320825 has 12 divisors (see below), whose sum is σ = 408828. Its totient is φ = 249600.

The previous prime is 320821. The next prime is 320833. The reversal of 320825 is 528023.

320825 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in 6 ways, for example, as 157609 + 163216 = 397^2 + 404^2 .

It is not a de Polignac number, because 320825 - 2² = 320821 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320797 and 320806.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320825.

It is not an unprimeable number, because it can be changed into a prime (320821) 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, 869 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (34069).

2³²⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

320825 is a deficient number, since it is larger than the sum of its proper divisors (88003).

320825 is a wasteful number, since it uses less digits than its factorization.

320825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 320825 is about 566.4141594275. The cubic root of 320825 is about 68.4577678480.

Adding to 320825 its reverse (528023), we get a palindrome (848848).

It can be divided in two parts, 3208 and 25, that multiplied together give a triangular number (80200 = T₄₀₀).

The spelling of 320825 in words is "three hundred twenty thousand, eight hundred twenty-five".