12957735 has 16 divisors (see below), whose sum is σ = 23694336. Its totient is φ = 5923488.

The previous prime is 12957731. The next prime is 12957739. The reversal of 12957735 is 53775921.

12957735 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 (12957731) and next prime (12957739).

It is not a de Polignac number, because 12957735 - 2² = 12957731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12957693 and 12957702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12957731) 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, 61599 + ... + 61808.

It is an arithmetic number, because the mean of its divisors is an integer number (1480896).

Almost surely, 2^12957735 is an apocalyptic number.

12957735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12957735 is a deficient number, since it is larger than the sum of its proper divisors (10736601).

12957735 is a wasteful number, since it uses less digits than its factorization.

12957735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123422.

The product of its digits is 66150, while the sum is 39.

The square root of 12957735 is about 3599.6854029206. The cubic root of 12957735 is about 234.8783737605.

The spelling of 12957735 in words is "twelve million, nine hundred fifty-seven thousand, seven hundred thirty-five".