213147396 has 288 divisors, whose sum is σ = 737372160. Its totient is φ = 51710400.

The previous prime is 213147391. The next prime is 213147437. The reversal of 213147396 is 693741312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213147396.

It is not an unprimeable number, because it can be changed into a prime (213147391) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3002041 + ... + 3002111.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 2^213147396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213147396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368686080).

213147396 is an abundant number, since it is smaller than the sum of its proper divisors (524224764).

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

213147396 is a wasteful number, since it uses less digits than its factorization.

213147396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 213147396 is about 14599.5683497835. The cubic root of 213147396 is about 597.3469864888.

The spelling of 213147396 in words is "two hundred thirteen million, one hundred forty-seven thousand, three hundred ninety-six".