12889305 has 48 divisors (see below), whose sum is σ = 26260416. Its totient is φ = 5765760.

The previous prime is 12889301. The next prime is 12889309. The reversal of 12889305 is 50398821.

12889305 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 an interprime number because it is at equal distance from previous prime (12889301) and next prime (12889309).

It is not a de Polignac number, because 12889305 - 2² = 12889301 is a prime.

It is a super-2 number, since 2×12889305² = 332268366766050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12889305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12889301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5434 + ... + 7436.

It is an arithmetic number, because the mean of its divisors is an integer number (547092).

Almost surely, 2^12889305 is an apocalyptic number.

12889305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12889305 is an abundant number, since it is smaller than the sum of its proper divisors (13371111).

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

12889305 is a wasteful number, since it uses less digits than its factorization.

12889305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 12889305 is about 3590.1678233754. The cubic root of 12889305 is about 234.4641783305.

The spelling of 12889305 in words is "twelve million, eight hundred eighty-nine thousand, three hundred five".