80325 has 48 divisors (see below), whose sum is σ = 178560. Its totient is φ = 34560.

The previous prime is 80317. The next prime is 80329. The reversal of 80325 is 52308.

It is not a de Polignac number, because 80325 - 2³ = 80317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 80298 and 80307.

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 80325.

It is not an unprimeable number, because it can be changed into a prime (80329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4717 + ... + 4733.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁸⁰³²⁵ is an apocalyptic number.

80325 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

80325 is an abundant number, since it is smaller than the sum of its proper divisors (98235).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

80325 is a wasteful number, since it uses less digits than its factorization.

80325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 80325 is about 283.4166544154. The cubic root of 80325 is about 43.1469642367.

Multiplying 80325 by its sum of digits (18), we get a triangular number (1445850 = T₁₇₀₀).

It can be divided in two parts, 803 and 25, that added together give a palindrome (828).

The spelling of 80325 in words is "eighty thousand, three hundred twenty-five".