212753 has 4 divisors (see below), whose sum is σ = 219648. Its totient is φ = 205860.

The previous prime is 212701. The next prime is 212777. The reversal of 212753 is 357212.

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.

It is a cyclic number.

It is not a de Polignac number, because 212753 - 2¹² = 208657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212353) 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, 3401 + ... + 3462.

It is an arithmetic number, because the mean of its divisors is an integer number (54912).

2²¹²⁷⁵³ is an apocalyptic number.

It is an amenable number.

212753 is a deficient number, since it is larger than the sum of its proper divisors (6895).

212753 is an equidigital number, since it uses as much as digits as its factorization.

212753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894.

The product of its digits is 420, while the sum is 20.

The square root of 212753 is about 461.2515582630. The cubic root of 212753 is about 59.6978326547.

Adding to 212753 its reverse (357212), we get a palindrome (569965).

The spelling of 212753 in words is "two hundred twelve thousand, seven hundred fifty-three".