31212 has 36 divisors (see below), whose sum is σ = 85960. Its totient is φ = 9792.

The previous prime is 31193. The next prime is 31219. The reversal of 31212 is 21213.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 7 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 31194 and 31203.

It is not an unprimeable number, because it can be changed into a prime (31219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1828 + ... + 1844.

2³¹²¹² 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 31212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42980).

31212 is an abundant number, since it is smaller than the sum of its proper divisors (54748).

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

31212 is a wasteful number, since it uses less digits than its factorization.

31212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 22 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 31212 is about 176.6691823720. The cubic root of 31212 is about 31.4852538689.

Multiplying 31212 by its product of digits (12), we get a square (374544 = 612²).

31212 divided by its product of digits (12) gives a square (2601 = 51²).

Adding to 31212 its reverse (21213), we get a palindrome (52425).

Subtracting from 31212 its reverse (21213), we obtain a palindrome (9999).

It can be divided in two parts, 312 and 12, that added together give a square (324 = 18²).

The spelling of 31212 in words is "thirty-one thousand, two hundred twelve".