213845536 has 96 divisors (see below), whose sum is σ = 467026560. Its totient is φ = 96036864.

The previous prime is 213845531. The next prime is 213845557. The reversal of 213845536 is 635548312.

It is a junction number, because it is equal to n+sod(n) for n = 213845495 and 213845504.

It is not an unprimeable number, because it can be changed into a prime (213845531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917676 + ... + 917908.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^213845536 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 213845536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

213845536 is an abundant number, since it is smaller than the sum of its proper divisors (253181024).

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

213845536 is a wasteful number, since it uses less digits than its factorization.

213845536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 213845536 is about 14623.4584144791. The cubic root of 213845536 is about 597.9984563891.

It can be divided in two parts, 2138 and 45536, that added together give a palindrome (47674).

The spelling of 213845536 in words is "two hundred thirteen million, eight hundred forty-five thousand, five hundred thirty-six".