212004 has 48 divisors (see below), whose sum is σ = 595840. Its totient is φ = 64800.

The previous prime is 211997. The next prime is 212029. The reversal of 212004 is 400212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329 + ... + 1479.

2²¹²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297920).

212004 is an abundant number, since it is smaller than the sum of its proper divisors (383836).

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

212004 is a wasteful number, since it uses less digits than its factorization.

212004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 212004 is about 460.4389210308. The cubic root of 212004 is about 59.6276945897.

Adding to 212004 its reverse (400212), we get a palindrome (612216).

It can be divided in two parts, 21 and 2004, that added together give a square (2025 = 45²).

The spelling of 212004 in words is "two hundred twelve thousand, four", and thus it is an iban number.