212508 has 18 divisors (see below), whose sum is σ = 537264. Its totient is φ = 70824.

The previous prime is 212507. The next prime is 212557. The reversal of 212508 is 805212.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

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 5 ways as a sum of consecutive naturals, for example, 2916 + ... + 2987.

It is an arithmetic number, because the mean of its divisors is an integer number (29848).

2²¹²⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

212508 is an abundant number, since it is smaller than the sum of its proper divisors (324756).

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

212508 is a wasteful number, since it uses less digits than its factorization.

212508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212508 is about 460.9859000013. The cubic root of 212508 is about 59.6749084392.

Subtracting 212508 from its reverse (805212), we obtain a cube (592704 = 84³).

The spelling of 212508 in words is "two hundred twelve thousand, five hundred eight".