312839129 has 2 divisors, whose sum is σ = 312839130. Its totient is φ = 312839128.

The previous prime is 312839053. The next prime is 312839141. The reversal of 312839129 is 921938213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295840000 + 16999129 = 17200^2 + 4123^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312839129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312839092 and 312839101.

It is not a weakly prime, because it can be changed into another prime (312839929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156419564 + 156419565.

It is an arithmetic number, because the mean of its divisors is an integer number (156419565).

Almost surely, 2^312839129 is an apocalyptic number.

It is an amenable number.

312839129 is a deficient number, since it is larger than the sum of its proper divisors (1).

312839129 is an equidigital number, since it uses as much as digits as its factorization.

312839129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 38.

The square root of 312839129 is about 17687.2589453539. The cubic root of 312839129 is about 678.8497921326.

The spelling of 312839129 in words is "three hundred twelve million, eight hundred thirty-nine thousand, one hundred twenty-nine".