212540 has 12 divisors (see below), whose sum is σ = 446376. Its totient is φ = 85008.

The previous prime is 212507. The next prime is 212557. The reversal of 212540 is 45212.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212540.

It is an unprimeable number.

212540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 5294 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (37198).

2²¹²⁵⁴⁰ is an apocalyptic number.

212540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212540 is an abundant number, since it is smaller than the sum of its proper divisors (233836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212540 is a wasteful number, since it uses less digits than its factorization.

212540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10636 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 212540 is about 461.0206069147. The cubic root of 212540 is about 59.6779036225.

Adding to 212540 its reverse (45212), we get a palindrome (257752).

The spelling of 212540 in words is "two hundred twelve thousand, five hundred forty".