212541 has 16 divisors (see below), whose sum is σ = 336000. Its totient is φ = 116928.

The previous prime is 212507. The next prime is 212557. The reversal of 212541 is 145212.

It is not a de Polignac number, because 212541 - 2⁹ = 212029 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2²¹²⁵⁴¹ is an apocalyptic number.

212541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212541 is a deficient number, since it is larger than the sum of its proper divisors (123459).

212541 is a wasteful number, since it uses less digits than its factorization.

212541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388.

The product of its digits is 80, while the sum is 15.

The square root of 212541 is about 461.0216914636. The cubic root of 212541 is about 59.6779972171.

Adding to 212541 its reverse (145212), we get a palindrome (357753).

It can be divided in two parts, 21 and 2541, that multiplied together give a square (53361 = 231²).

The spelling of 212541 in words is "two hundred twelve thousand, five hundred forty-one".