12892757 has 2 divisors, whose sum is σ = 12892758. Its totient is φ = 12892756.

The previous prime is 12892741. The next prime is 12892771. The reversal of 12892757 is 75729821.

12892757 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11792356 + 1100401 = 3434^2 + 1049^2 .

It is a cyclic number.

It is not a de Polignac number, because 12892757 - 2⁴ = 12892741 is a prime.

It is a super-2 number, since 2×12892757² = 332446366122098, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12892657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6446378 + 6446379.

It is an arithmetic number, because the mean of its divisors is an integer number (6446379).

Almost surely, 2^12892757 is an apocalyptic number.

It is an amenable number.

12892757 is a deficient number, since it is larger than the sum of its proper divisors (1).

12892757 is an equidigital number, since it uses as much as digits as its factorization.

12892757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 70560, while the sum is 41.

The square root of 12892757 is about 3590.6485486608. The cubic root of 12892757 is about 234.4851077781.

The spelling of 12892757 in words is "twelve million, eight hundred ninety-two thousand, seven hundred fifty-seven".