51612 has 48 divisors (see below), whose sum is σ = 145152. Its totient is φ = 14080.

The previous prime is 51607. The next prime is 51613. The reversal of 51612 is 21615.

51612 is nontrivially palindromic in base 16.

51612 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51591 and 51600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51613) by changing a digit.

51612 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 15 ways as a sum of consecutive naturals, for example, 2233 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁵¹⁶¹² 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 51612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

51612 is an abundant number, since it is smaller than the sum of its proper divisors (93540).

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

51612 is a wasteful number, since it uses less digits than its factorization.

51612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 56 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 51612 is about 227.1827458237. The cubic root of 51612 is about 37.2320454590.

It can be divided in two parts, 516 and 12, that added together give a triangular number (528 = T₃₂).

The spelling of 51612 in words is "fifty-one thousand, six hundred twelve".