212953 has 4 divisors (see below), whose sum is σ = 229348. Its totient is φ = 196560.

The previous prime is 212923. The next prime is 212969. The reversal of 212953 is 359212.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 204304 = 93^2 + 452^2 .

It is a de Polignac number, because none of the positive numbers 2^k-212953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8178 + ... + 8203.

It is an arithmetic number, because the mean of its divisors is an integer number (57337).

2²¹²⁹⁵³ is an apocalyptic number.

It is an amenable number.

212953 is a deficient number, since it is larger than the sum of its proper divisors (16395).

212953 is a wasteful number, since it uses less digits than its factorization.

212953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394.

The product of its digits is 540, while the sum is 22.

The square root of 212953 is about 461.4683087710. The cubic root of 212953 is about 59.7165332562.

The spelling of 212953 in words is "two hundred twelve thousand, nine hundred fifty-three".