12610 has 16 divisors (see below), whose sum is σ = 24696. Its totient is φ = 4608.

The previous prime is 12601. The next prime is 12611. The reversal of 12610 is 1621.

It can be written as a sum of positive squares in 4 ways, for example, as 7569 + 5041 = 87^2 + 71^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 178.

2¹²⁶¹⁰ is an apocalyptic number.

12610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12610 is a deficient number, since it is larger than the sum of its proper divisors (12086).

12610 is a wasteful number, since it uses less digits than its factorization.

12610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117.

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

The square root of 12610 is about 112.2942563090. The cubic root of 12610 is about 23.2758220834.

It can be divided in two parts, 126 and 10, that added together give a triangular number (136 = T₁₆).

The spelling of 12610 in words is "twelve thousand, six hundred ten".