312020257 has 2 divisors, whose sum is σ = 312020258. Its totient is φ = 312020256.

The previous prime is 312020237. The next prime is 312020327. The reversal of 312020257 is 752020213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308318481 + 3701776 = 17559^2 + 1924^2 .

It is a cyclic number.

It is not a de Polignac number, because 312020257 - 2²³ = 303631649 is a prime.

It is not a weakly prime, because it can be changed into another prime (312020237) 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 as a sum of consecutive naturals, namely, 156010128 + 156010129.

It is an arithmetic number, because the mean of its divisors is an integer number (156010129).

Almost surely, 2^312020257 is an apocalyptic number.

It is an amenable number.

312020257 is a deficient number, since it is larger than the sum of its proper divisors (1).

312020257 is an equidigital number, since it uses as much as digits as its factorization.

312020257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 312020257 is about 17664.0951367456. The cubic root of 312020257 is about 678.2569668685.

The spelling of 312020257 in words is "three hundred twelve million, twenty thousand, two hundred fifty-seven".