213788 has 24 divisors (see below), whose sum is σ = 411600. Its totient is φ = 96768.

The previous prime is 213751. The next prime is 213791. The reversal of 213788 is 887312.

213788 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 213788.

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 213788.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2156 + ... + 2252.

It is an arithmetic number, because the mean of its divisors is an integer number (17150).

2²¹³⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

213788 is a deficient number, since it is larger than the sum of its proper divisors (197812).

213788 is a wasteful number, since it uses less digits than its factorization.

213788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 213788 is about 462.3721444897. The cubic root of 213788 is about 59.7944820283.

It can be divided in two parts, 213 and 788, that added together give a palindrome (1001).

The spelling of 213788 in words is "two hundred thirteen thousand, seven hundred eighty-eight".