213038032 has 40 divisors (see below), whose sum is σ = 436856960. Its totient is φ = 100362240.

The previous prime is 213038011. The next prime is 213038053. The reversal of 213038032 is 230830312.

It is a happy number.

213038032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213038011) and next prime (213038053).

It is a junction number, because it is equal to n+sod(n) for n = 213037994 and 213038012.

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, 56857 + ... + 60487.

It is an arithmetic number, because the mean of its divisors is an integer number (10921424).

Almost surely, 2^213038032 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 213038032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218428480).

213038032 is an abundant number, since it is smaller than the sum of its proper divisors (223818928).

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

213038032 is a wasteful number, since it uses less digits than its factorization.

213038032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 213038032 is about 14595.8224160203. The cubic root of 213038032 is about 597.2448045663.

Adding to 213038032 its reverse (230830312), we get a palindrome (443868344).

The spelling of 213038032 in words is "two hundred thirteen million, thirty-eight thousand, thirty-two".