213202 has 12 divisors (see below), whose sum is σ = 351918. Its totient is φ = 96800.

The previous prime is 213193. The next prime is 213203. The reversal of 213202 is 202312.

It can be written as a sum of positive squares in only one way, i.e., 203401 + 9801 = 451^2 + 99^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213203) by changing a digit.

213202 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199 + ... + 682.

2²¹³²⁰² is an apocalyptic number.

213202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213202 is a deficient number, since it is larger than the sum of its proper divisors (138716).

213202 is a wasteful number, since it uses less digits than its factorization.

213202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 213202 is about 461.7380209599. The cubic root of 213202 is about 59.7397991491.

Adding to 213202 its reverse (202312), we get a palindrome (415514).

It can be divided in two parts, 21 and 3202, that added together give a palindrome (3223).

The spelling of 213202 in words is "two hundred thirteen thousand, two hundred two".