4212 has 30 divisors (see below), whose sum is σ = 11858. Its totient is φ = 1296.

The previous prime is 4211. The next prime is 4217. The reversal of 4212 is 2124.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 1296 = 54^2 + 36^2 .

It is a hoax number, since the sum of its digits (9) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a zygodrome in base 5.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4194 and 4203.

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 4212.

It is not an unprimeable number, because it can be changed into a prime (4211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 318 + ... + 330.

2^{4212} 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 4212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929).

4212 is an abundant number, since it is smaller than the sum of its proper divisors (7646).

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

4212 is a wasteful number, since it uses less digits than its factorization.

4212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 18 counting only the distinct ones).

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

The square root of 4212 is about 64.8999229584. The cubic root of 4212 is about 16.1496378363.

Adding to 4212 its reverse (2124), we get a palindrome (6336).

It can be divided in two parts, 4 and 212, that multiplied together give a palindrome (848).

The spelling of 4212 in words is "four thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212

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