212752 has 10 divisors (see below), whose sum is σ = 412238. Its totient is φ = 106368.

The previous prime is 212701. The next prime is 212777. The reversal of 212752 is 257212.

212752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 99856 = 336^2 + 316^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6633 + ... + 6664.

2²¹²⁷⁵² is an apocalyptic number.

It is an amenable number.

212752 is a deficient number, since it is larger than the sum of its proper divisors (199486).

212752 is a wasteful number, since it uses less digits than its factorization.

212752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13305 (or 13299 counting only the distinct ones).

The product of its digits is 280, while the sum is 19.

The square root of 212752 is about 461.2504742545. The cubic root of 212752 is about 59.6977391222.

Adding to 212752 its reverse (257212), we get a palindrome (469964).

The spelling of 212752 in words is "two hundred twelve thousand, seven hundred fifty-two".