212763 has 4 divisors (see below), whose sum is σ = 283688. Its totient is φ = 141840.

The previous prime is 212701. The next prime is 212777. The reversal of 212763 is 367212.

It is a happy number.

212763 is nontrivially palindromic in base 14.

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

It is not a de Polignac number, because 212763 - 2⁸ = 212507 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

212763 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (214763) 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, 35458 + ... + 35463.

It is an arithmetic number, because the mean of its divisors is an integer number (70922).

2²¹²⁷⁶³ is an apocalyptic number.

212763 is a deficient number, since it is larger than the sum of its proper divisors (70925).

212763 is an equidigital number, since it uses as much as digits as its factorization.

212763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70924.

The product of its digits is 504, while the sum is 21.

The square root of 212763 is about 461.2623982074. The cubic root of 212763 is about 59.6987679630.

Adding to 212763 its reverse (367212), we get a palindrome (579975).

Subtracting 212763 from its reverse (367212), we obtain a square (154449 = 393²).

The spelling of 212763 in words is "two hundred twelve thousand, seven hundred sixty-three".