213147000 has 192 divisors, whose sum is σ = 786296160. Its totient is φ = 51648000.

The previous prime is 213146981. The next prime is 213147019. The reversal of 213147000 is 741312.

It is an interprime number because it is at equal distance from previous prime (213146981) and next prime (213147019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97924 + ... + 100076.

Almost surely, 2^213147000 is an apocalyptic number.

213147000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393148080).

213147000 is an abundant number, since it is smaller than the sum of its proper divisors (573149160).

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

213147000 is a wasteful number, since it uses less digits than its factorization.

213147000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 213147000 is about 14599.5547877324. The cubic root of 213147000 is about 597.3466165577.

Adding to 213147000 its reverse (741312), we get a palindrome (213888312).

The spelling of 213147000 in words is "two hundred thirteen million, one hundred forty-seven thousand".