182325 has 48 divisors (see below), whose sum is σ = 374976. Its totient is φ = 76800.

The previous prime is 182309. The next prime is 182333. The reversal of 182325 is 523281.

It is not a de Polignac number, because 182325 - 2⁴ = 182309 is a prime.

It is a d-powerful number, because it can be written as 1 + 8⁴ + 3¹¹ + 2⁵ + 2¹⁰ + 5² .

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 182325.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10717 + ... + 10733.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹⁸²³²⁵ is an apocalyptic number.

182325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

182325 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

182325 is a wasteful number, since it uses less digits than its factorization.

182325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 49 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 182325 is about 426.9953161336. The cubic root of 182325 is about 56.7042234691.

The spelling of 182325 in words is "one hundred eighty-two thousand, three hundred twenty-five".