312538129 has 4 divisors (see below), whose sum is σ = 312652980. Its totient is φ = 312423280.

The previous prime is 312538123. The next prime is 312538151. The reversal of 312538129 is 921835213.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 921835213 = 13 ⋅70910401.

It can be written as a sum of positive squares in 2 ways, for example, as 246490000 + 66048129 = 15700^2 + 8127^2 .

It is a cyclic number.

It is not a de Polignac number, because 312538129 - 2²⁵ = 278983697 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312538094 and 312538103.

It is not an unprimeable number, because it can be changed into a prime (312538123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53242 + ... + 58819.

It is an arithmetic number, because the mean of its divisors is an integer number (78163245).

Almost surely, 2^312538129 is an apocalyptic number.

It is an amenable number.

312538129 is a deficient number, since it is larger than the sum of its proper divisors (114851).

312538129 is a wasteful number, since it uses less digits than its factorization.

312538129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114850.

The product of its digits is 12960, while the sum is 34.

The square root of 312538129 is about 17678.7479477479. The cubic root of 312538129 is about 678.6320025008.

The spelling of 312538129 in words is "three hundred twelve million, five hundred thirty-eight thousand, one hundred twenty-nine".