12577131 has 12 divisors (see below), whose sum is σ = 20762352. Its totient is φ = 7186896.

The previous prime is 12577129. The next prime is 12577133. The reversal of 12577131 is 13177521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12577129) and next prime (12577133).

It is not a de Polignac number, because 12577131 - 2¹ = 12577129 is a prime.

It is a super-2 number, since 2×12577131² = 316368448382322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12577095 and 12577104.

It is not an unprimeable number, because it can be changed into a prime (12577133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99756 + ... + 99881.

It is an arithmetic number, because the mean of its divisors is an integer number (1730196).

Almost surely, 2^12577131 is an apocalyptic number.

12577131 is a deficient number, since it is larger than the sum of its proper divisors (8185221).

12577131 is a wasteful number, since it uses less digits than its factorization.

12577131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199650 (or 199647 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 12577131 is about 3546.4251014226. The cubic root of 12577131 is about 232.5558103966. Note that the first 3 decimals are identical.

The spelling of 12577131 in words is "twelve million, five hundred seventy-seven thousand, one hundred thirty-one".