22785 has 24 divisors (see below), whose sum is σ = 43776. Its totient is φ = 10080.

The previous prime is 22783. The next prime is 22787. The reversal of 22785 is 58722.

It is an interprime number because it is at equal distance from previous prime (22783) and next prime (22787).

It is not a de Polignac number, because 22785 - 2¹ = 22783 is a prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (1824).

It is a Proth number, since it is equal to 89 ⋅ 2⁸ + 1 and 89 < 2⁸.

2²²⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

22785 is a deficient number, since it is larger than the sum of its proper divisors (20991).

22785 is a wasteful number, since it uses less digits than its factorization.

22785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 46 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 22785 is about 150.9470105699. The cubic root of 22785 is about 28.3497789954.

Subtracting 22785 from its reverse (58722), we obtain a cube (35937 = 33³).

The spelling of 22785 in words is "twenty-two thousand, seven hundred eighty-five".