213476832 has 144 divisors (see below), whose sum is σ = 631547280. Its totient is φ = 68352000.

The previous prime is 213476821. The next prime is 213476833. The reversal of 213476832 is 238674312.

It is a happy number.

213476832 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213476833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192519 + ... + 1192697.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2^213476832 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 213476832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315773640).

213476832 is an abundant number, since it is smaller than the sum of its proper divisors (418070448).

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

213476832 is a wasteful number, since it uses less digits than its factorization.

213476832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 326 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 213476832 is about 14610.8463820547. The cubic root of 213476832 is about 597.6545769309.

The spelling of 213476832 in words is "two hundred thirteen million, four hundred seventy-six thousand, eight hundred thirty-two".