182564 has 6 divisors (see below), whose sum is σ = 319494. Its totient is φ = 91280.

The previous prime is 182561. The next prime is 182579. The reversal of 182564 is 465281.

182564 is nontrivially palindromic in base 12.

182564 is digitally balanced in base 3, 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 only one way, i.e., 153664 + 28900 = 392^2 + 170^2 .

It is a super-2 number, since 2×182564² = 66659228192, which contains 22 as substring.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 182564.

It is not an unprimeable number, because it can be changed into a prime (182561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22817 + ... + 22824.

It is an arithmetic number, because the mean of its divisors is an integer number (53249).

2¹⁸²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

182564 is a deficient number, since it is larger than the sum of its proper divisors (136930).

182564 is a wasteful number, since it uses less digits than its factorization.

182564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45645 (or 45643 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 182564 is about 427.2750870341. The cubic root of 182564 is about 56.7289894859.

The spelling of 182564 in words is "one hundred eighty-two thousand, five hundred sixty-four".