212949 has 20 divisors (see below), whose sum is σ = 348480. Its totient is φ = 128520.

The previous prime is 212923. The next prime is 212969. The reversal of 212949 is 949212.

It is not a de Polignac number, because 212949 - 2⁵ = 212917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212909) 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 19 ways as a sum of consecutive naturals, for example, 772 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (17424).

2²¹²⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

212949 is a deficient number, since it is larger than the sum of its proper divisors (135531).

212949 is a wasteful number, since it uses less digits than its factorization.

212949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 212949 is about 461.4639747586. The cubic root of 212949 is about 59.7161593589.

212949 divided by its sum of digits (27) gives a palindrome (7887).

The spelling of 212949 in words is "two hundred twelve thousand, nine hundred forty-nine".