213789000 has 64 divisors (see below), whose sum is σ = 667031040. Its totient is φ = 57009600.

The previous prime is 213788983. The next prime is 213789013. The reversal of 213789000 is 987312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32632 + ... + 38631.

It is an arithmetic number, because the mean of its divisors is an integer number (10422360).

Almost surely, 2^213789000 is an apocalyptic number.

213789000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213789000 is an abundant number, since it is smaller than the sum of its proper divisors (453242040).

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

213789000 is a wasteful number, since it uses less digits than its factorization.

213789000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71287 (or 71273 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 213789000 is about 14621.5252282380. The cubic root of 213789000 is about 597.9457525837.

The spelling of 213789000 in words is "two hundred thirteen million, seven hundred eighty-nine thousand".