212137 has 4 divisors (see below), whose sum is σ = 213136. Its totient is φ = 211140.

The previous prime is 212131. The next prime is 212141. The reversal of 212137 is 731212.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 212137 - 2¹⁵ = 179369 is a prime.

It is a Duffinian number.

212137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 212137.

It is not an unprimeable number, because it can be changed into a prime (212131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39 + ... + 652.

It is an arithmetic number, because the mean of its divisors is an integer number (53284).

2²¹²¹³⁷ is an apocalyptic number.

It is an amenable number.

212137 is a deficient number, since it is larger than the sum of its proper divisors (999).

212137 is an equidigital number, since it uses as much as digits as its factorization.

212137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998.

The product of its digits is 84, while the sum is 16.

The square root of 212137 is about 460.5833257946. The cubic root of 212137 is about 59.6401610613.

Adding to 212137 its reverse (731212), we get a palindrome (943349).

The spelling of 212137 in words is "two hundred twelve thousand, one hundred thirty-seven".