213512 has 16 divisors (see below), whose sum is σ = 431340. Its totient is φ = 98496.

The previous prime is 213491. The next prime is 213523. The reversal of 213512 is 215312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 206116 + 7396 = 454^2 + 86^2 .

It is an Ulam number.

It is an unprimeable number.

213512 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 923 + ... + 1130.

2²¹³⁵¹² is an apocalyptic number.

It is an amenable number.

213512 is an abundant number, since it is smaller than the sum of its proper divisors (217828).

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

213512 is a wasteful number, since it uses less digits than its factorization.

213512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2068 counting only the distinct ones).

The product of its digits is 60, while the sum is 14.

The square root of 213512 is about 462.0735872131. The cubic root of 213512 is about 59.7687394172.

Adding to 213512 its reverse (215312), we get a palindrome (428824).

The spelling of 213512 in words is "two hundred thirteen thousand, five hundred twelve".