185216 has 16 divisors (see below), whose sum is σ = 369240. Its totient is φ = 92544.

The previous prime is 185189. The next prime is 185221. The reversal of 185216 is 612581.

It is a tau number, because it is divible by the number of its divisors (16).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 185191 and 185200.

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 185216.

It is an unprimeable number.

185216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 596 + ... + 851.

2¹⁸⁵²¹⁶ is an apocalyptic number.

185216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

185216 is a deficient number, since it is larger than the sum of its proper divisors (184024).

185216 is an equidigital number, since it uses as much as digits as its factorization.

185216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1449 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 185216 is about 430.3672850020. The cubic root of 185216 is about 57.0023596027.

Subtracting from 185216 its sum of digits (23), we obtain a cube (185193 = 57³).

Adding to 185216 its reverse (612581), we get a palindrome (797797).

The spelling of 185216 in words is "one hundred eighty-five thousand, two hundred sixteen".