12735738 has 32 divisors (see below), whose sum is σ = 29793600. Its totient is φ = 4021488.

The previous prime is 12735713. The next prime is 12735739. The reversal of 12735738 is 83753721.

12735738 is a `hidden beast` number, since 12 + 73 + 573 + 8 = 666.

12735738 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 not an unprimeable number, because it can be changed into a prime (12735739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5181 + ... + 7232.

It is an arithmetic number, because the mean of its divisors is an integer number (931050).

Almost surely, 2^12735738 is an apocalyptic number.

12735738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12735738 is an abundant number, since it is smaller than the sum of its proper divisors (17057862).

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

12735738 is a wasteful number, since it uses less digits than its factorization.

12735738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12443 (or 12437 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 12735738 is about 3568.7165760256. The cubic root of 12735738 is about 233.5292970529.

The spelling of 12735738 in words is "twelve million, seven hundred thirty-five thousand, seven hundred thirty-eight".