12772567 has 8 divisors (see below), whose sum is σ = 13365216. Its totient is φ = 12183072.

The previous prime is 12772553. The next prime is 12772597. The reversal of 12772567 is 76527721.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12772567 - 2¹⁵ = 12739799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12772537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12313 + ... + 13309.

It is an arithmetic number, because the mean of its divisors is an integer number (1670652).

Almost surely, 2^12772567 is an apocalyptic number.

12772567 is a deficient number, since it is larger than the sum of its proper divisors (592649).

12772567 is an equidigital number, since it uses as much as digits as its factorization.

12772567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577.

The product of its digits is 41160, while the sum is 37.

The square root of 12772567 is about 3573.8728292988. The cubic root of 12772567 is about 233.7541858230.

It can be divided in two parts, 1277 and 2567, that added together give a square (3844 = 62²).

The spelling of 12772567 in words is "twelve million, seven hundred seventy-two thousand, five hundred sixty-seven".