213034536 has 320 divisors, whose sum is σ = 744004800. Its totient is φ = 56453760.

The previous prime is 213034489. The next prime is 213034537. The reversal of 213034536 is 635430312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213034537) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11212335 + ... + 11212353.

It is an arithmetic number, because the mean of its divisors is an integer number (2325015).

Almost surely, 2^213034536 is an apocalyptic number.

213034536 is a gapful number since it is divisible by the number (26) 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 213034536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372002400).

213034536 is an abundant number, since it is smaller than the sum of its proper divisors (530970264).

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

213034536 is a wasteful number, since it uses less digits than its factorization.

213034536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 213034536 is about 14595.7026552338. The cubic root of 213034536 is about 597.2415375764.

Adding to 213034536 its reverse (635430312), we get a palindrome (848464848).

The spelling of 213034536 in words is "two hundred thirteen million, thirty-four thousand, five hundred thirty-six".