213787 has 6 divisors (see below), whose sum is σ = 248748. Its totient is φ = 183204.

The previous prime is 213751. The next prime is 213791. The reversal of 213787 is 787312.

It is a happy number.

213787 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213787 - 2⁷ = 213659 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2133 + ... + 2230.

It is an arithmetic number, because the mean of its divisors is an integer number (41458).

2²¹³⁷⁸⁷ is an apocalyptic number.

213787 is a deficient number, since it is larger than the sum of its proper divisors (34961).

213787 is an equidigital number, since it uses as much as digits as its factorization.

213787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4370 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 213787 is about 462.3710631084. The cubic root of 213787 is about 59.7943887980.

It can be divided in two parts, 213 and 787, that added together give a cube (1000 = 10³).

The spelling of 213787 in words is "two hundred thirteen thousand, seven hundred eighty-seven".