10612 has 12 divisors (see below), whose sum is σ = 21280. Its totient is φ = 4536.

The previous prime is 10607. The next prime is 10613. The reversal of 10612 is 21601.

10612 is nontrivially palindromic in base 13.

10612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10612 is an admirable number.

It is a super-2 number, since 2×10612² = 225229088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613) by changing a digit.

10612 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162 + ... + 217.

2¹⁰⁶¹² is an apocalyptic number.

It is an amenable number.

10612 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10640).

10612 is a wasteful number, since it uses less digits than its factorization.

10612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10612 is about 103.0145620774. The cubic root of 10612 is about 21.9751786175.

The spelling of 10612 in words is "ten thousand, six hundred twelve".