213827000 has 32 divisors (see below), whose sum is σ = 500357520. Its totient is φ = 85530400.

The previous prime is 213826957. The next prime is 213827011. The reversal of 213827000 is 728312.

It is a nialpdrome in base 11.

It is a congruent number.

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, 105914 + ... + 107913.

Almost surely, 2^213827000 is an apocalyptic number.

213827000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213827000 is an abundant number, since it is smaller than the sum of its proper divisors (286530520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213827000 is a wasteful number, since it uses less digits than its factorization.

213827000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213848 (or 213834 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 213827000 is about 14622.8246245382. The cubic root of 213827000 is about 597.9811778433.

It can be divided in two parts, 21382 and 7000, that added together give a palindrome (28382).

The spelling of 213827000 in words is "two hundred thirteen million, eight hundred twenty-seven thousand".