182745 has 24 divisors (see below), whose sum is σ = 329472. Its totient is φ = 93600.

The previous prime is 182713. The next prime is 182747. The reversal of 182745 is 547281.

It is not a de Polignac number, because 182745 - 2⁵ = 182713 is a prime.

182745 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (182747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330 + ... + 1460.

It is an arithmetic number, because the mean of its divisors is an integer number (13728).

2¹⁸²⁷⁴⁵ is an apocalyptic number.

182745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

182745 is a deficient number, since it is larger than the sum of its proper divisors (146727).

182745 is a wasteful number, since it uses less digits than its factorization.

182745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 170 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 182745 is about 427.4868419028. The cubic root of 182745 is about 56.7477309604.

It can be divided in two parts, 1827 and 45, that multiplied together give a triangular number (82215 = T₄₀₅).

The spelling of 182745 in words is "one hundred eighty-two thousand, seven hundred forty-five".