212900 has 18 divisors (see below), whose sum is σ = 462210. Its totient is φ = 85120.

The previous prime is 212897. The next prime is 212903. The reversal of 212900 is 9212.

212900 = 80² + 81² + ... + 104².

It is an interprime number because it is at equal distance from previous prime (212897) and next prime (212903).

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 209764 = 56^2 + 458^2 .

It is not an unprimeable number, because it can be changed into a prime (212903) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 965 + ... + 1164.

2²¹²⁹⁰⁰ is an apocalyptic number.

212900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212900 is an abundant number, since it is smaller than the sum of its proper divisors (249310).

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

212900 is a wasteful number, since it uses less digits than its factorization.

212900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 212900 is about 461.4108798024. The cubic root of 212900 is about 59.7115787374.

The spelling of 212900 in words is "two hundred twelve thousand, nine hundred".