212251 has 8 divisors (see below), whose sum is σ = 236880. Its totient is φ = 188832.

The previous prime is 212243. The next prime is 212281. The reversal of 212251 is 152212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212251 - 2³ = 212243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a d-powerful number, because it can be written as 2⁴ + 1 + 2¹⁶ + 2¹⁷ + 5⁶ + 1 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 658.

It is an arithmetic number, because the mean of its divisors is an integer number (29610).

2²¹²²⁵¹ is an apocalyptic number.

212251 is a deficient number, since it is larger than the sum of its proper divisors (24629).

212251 is a wasteful number, since it uses less digits than its factorization.

212251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605.

The product of its digits is 40, while the sum is 13.

The square root of 212251 is about 460.7070652812. The cubic root of 212251 is about 59.6508424619.

Adding to 212251 its reverse (152212), we get a palindrome (364463).

The spelling of 212251 in words is "two hundred twelve thousand, two hundred fifty-one".