212510 has 16 divisors (see below), whose sum is σ = 388800. Its totient is φ = 83616.

The previous prime is 212507. The next prime is 212557. The reversal of 212510 is 15212.

It is a junction number, because it is equal to n+sod(n) for n = 212491 and 212500.

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 212510.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 656 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2²¹²⁵¹⁰ is an apocalyptic number.

212510 is a deficient number, since it is larger than the sum of its proper divisors (176290).

212510 is a wasteful number, since it uses less digits than its factorization.

212510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 212510 is about 460.9880692599. The cubic root of 212510 is about 59.6750956469.

Adding to 212510 its sum of digits (11), we get a square (212521 = 461²).

Adding to 212510 its reverse (15212), we get a palindrome (227722).

The spelling of 212510 in words is "two hundred twelve thousand, five hundred ten".