10787 has 8 divisors (see below), whose sum is σ = 13056. Its totient is φ = 8712.

The previous prime is 10781. The next prime is 10789. The reversal of 10787 is 78701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10787 - 2⁴ = 10771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

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

It is a Duffinian number.

It is a nialpdrome in base 7.

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 in 7 ways as a sum of consecutive naturals, for example, 128 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (1632).

2¹⁰⁷⁸⁷ is an apocalyptic number.

10787 is a deficient number, since it is larger than the sum of its proper divisors (2269).

10787 is an equidigital number, since it uses as much as digits as its factorization.

10787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 10787 is about 103.8604833418. The cubic root of 10787 is about 22.0953164662.

It can be divided in two parts, 10 and 787, that added together give a palindrome (797).

The spelling of 10787 in words is "ten thousand, seven hundred eighty-seven".