10784 has 12 divisors (see below), whose sum is σ = 21294. Its totient is φ = 5376.

The previous prime is 10781. The next prime is 10789. The reversal of 10784 is 48701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 784 = 100^2 + 28^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 137 + ... + 200.

2¹⁰⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

10784 is a deficient number, since it is larger than the sum of its proper divisors (10510).

10784 is an equidigital number, since it uses as much as digits as its factorization.

10784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 10784 is about 103.8460398860. The cubic root of 10784 is about 22.0932679481.

It can be divided in two parts, 107 and 84, that added together give a palindrome (191).

The spelling of 10784 in words is "ten thousand, seven hundred eighty-four".