612312 has 32 divisors (see below), whose sum is σ = 1582080. Its totient is φ = 197280.

The previous prime is 612307. The next prime is 612317. The reversal of 612312 is 213216.

It is an interprime number because it is at equal distance from previous prime (612307) and next prime (612317).

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

It is a junction number, because it is equal to n+sod(n) for n = 612291 and 612300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612317) 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 7 ways as a sum of consecutive naturals, for example, 333 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (49440).

2⁶¹²³¹² is an apocalyptic number.

612312 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791040).

612312 is an abundant number, since it is smaller than the sum of its proper divisors (969768).

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

612312 is a wasteful number, since it uses less digits than its factorization.

612312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 612312 is about 782.5036741128. The cubic root of 612312 is about 84.9162728016.

Adding to 612312 its reverse (213216), we get a palindrome (825528).

The spelling of 612312 in words is "six hundred twelve thousand, three hundred twelve".