12800349 has 10 divisors (see below), whose sum is σ = 19121630. Its totient is φ = 8533512.

The previous prime is 12800341. The next prime is 12800353. The reversal of 12800349 is 94300821.

12800349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12320100 + 480249 = 3510^2 + 693^2 .

It is not a de Polignac number, because 12800349 - 2³ = 12800341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800341) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78934 + ... + 79095.

It is an arithmetic number, because the mean of its divisors is an integer number (1912163).

Almost surely, 2^12800349 is an apocalyptic number.

It is an amenable number.

12800349 is a deficient number, since it is larger than the sum of its proper divisors (6321281).

12800349 is an equidigital number, since it uses as much as digits as its factorization.

12800349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158041 (or 158032 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12800349 is about 3577.7575379000. The cubic root of 12800349 is about 233.9235450423.

The spelling of 12800349 in words is "twelve million, eight hundred thousand, three hundred forty-nine".