213598225 has 27 divisors (see below), whose sum is σ = 275703057. Its totient is φ = 164155680.

The previous prime is 213598223. The next prime is 213598249. The reversal of 213598225 is 522895312.

The square root of 213598225 is 14615.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20277009 + 193321216 = 4503^2 + 13904^2 .

It is not a de Polignac number, because 213598225 - 2¹ = 213598223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213598223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2703736 + ... + 2703814.

Almost surely, 2^213598225 is an apocalyptic number.

213598225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213598225 is the 14615-th square number.

213598225 is the 7308-th centered octagonal number.

It is an amenable number.

213598225 is a deficient number, since it is larger than the sum of its proper divisors (62104832).

213598225 is an frugal number, since it uses more digits than its factorization.

213598225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The cubic root of 213598225 is about 597.7678403292.

It can be divided in two parts, 21359 and 8225, that added together give a square (29584 = 172²).

The spelling of 213598225 in words is "two hundred thirteen million, five hundred ninety-eight thousand, two hundred twenty-five".