212505 has 16 divisors (see below), whose sum is σ = 351744. Its totient is φ = 109440.

The previous prime is 212501. The next prime is 212507. The reversal of 212505 is 505212.

212505 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 212505 - 2² = 212501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

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

212505 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212505.

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, 237 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (21984).

2²¹²⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

212505 is a deficient number, since it is larger than the sum of its proper divisors (139239).

212505 is a wasteful number, since it uses less digits than its factorization.

212505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 212505 is about 460.9826460942. The cubic root of 212505 is about 59.6746276253.

Adding to 212505 its reverse (505212), we get a palindrome (717717).

It can be divided in two parts, 212 and 505, that added together give a palindrome (717).

The spelling of 212505 in words is "two hundred twelve thousand, five hundred five".