187216 has 10 divisors (see below), whose sum is σ = 362762. Its totient is φ = 93600.

The previous prime is 187211. The next prime is 187217. The reversal of 187216 is 612781.

187216 is digitally balanced in base 2, 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., 176400 + 10816 = 420^2 + 104^2 .

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

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5835 + ... + 5866.

2¹⁸⁷²¹⁶ is an apocalyptic number.

187216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

187216 is a deficient number, since it is larger than the sum of its proper divisors (175546).

187216 is a wasteful number, since it uses less digits than its factorization.

187216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11709 (or 11703 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 187216 is about 432.6846426672. The cubic root of 187216 is about 57.2067998502.

Adding to 187216 its reverse (612781), we get a palindrome (799997).

The spelling of 187216 in words is "one hundred eighty-seven thousand, two hundred sixteen".