12810735 has 48 divisors (see below), whose sum is σ = 25798656. Its totient is φ = 5759424.

The previous prime is 12810727. The next prime is 12810757. The reversal of 12810735 is 53701821.

It is not a de Polignac number, because 12810735 - 2³ = 12810727 is a prime.

It is a super-2 number, since 2×12810735² = 328229862480450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12810699 and 12810708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20802 + ... + 21408.

It is an arithmetic number, because the mean of its divisors is an integer number (537472).

It is a vampire number, since it can be written as 1821 ⋅ 7035 (with its own digits).

Almost surely, 2^12810735 is an apocalyptic number.

12810735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12810735 is an abundant number, since it is smaller than the sum of its proper divisors (12987921).

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

12810735 is a wasteful number, since it uses less digits than its factorization.

12810735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 12810735 is about 3579.2087114333. The cubic root of 12810735 is about 233.9867952224.

The spelling of 12810735 in words is "twelve million, eight hundred ten thousand, seven hundred thirty-five".