612 has 18 divisors (see below), whose sum is σ = 1638. Its totient is φ = 192.

The previous prime is 607. The next prime is 613. The reversal of 612 is 216.

612 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

612 is an esthetic number in base 4, because in such base it adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 576 + 36 = 24^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 divisibly by the product of its digits.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 8 and base 15.

It is a nialpdrome in base 5, base 9 and base 12.

It is a zygodrome in base 5 and base 8.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 594 and 603.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 612.

It is not an unprimeable number, because it can be changed into a prime (613) by changing a digit.

612 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28 + ... + 44.

It is an arithmetic number, because the mean of its divisors is an integer number (91).

2^{612} 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 612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819).

612 is an abundant number, since it is smaller than the sum of its proper divisors (1026).

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

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

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

The sum of its prime factors is 27 (or 22 counting only the distinct ones).

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

The square root of 612 is about 24.7386337537. The cubic root of 612 is about 8.4901847488.

The spelling of 612 in words is "six hundred twelve", and is thus an aban number and an oban number.

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