312099961 has 2 divisors, whose sum is σ = 312099962. Its totient is φ = 312099960.

The previous prime is 312099941. The next prime is 312100013. The reversal of 312099961 is 169990213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208975936 + 103124025 = 14456^2 + 10155^2 .

It is a cyclic number.

It is not a de Polignac number, because 312099961 - 2¹⁷ = 311968889 is a prime.

It is equal to p_16871764 and since 312099961 and 16871764 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (312099941) 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 as a sum of consecutive naturals, namely, 156049980 + 156049981.

It is an arithmetic number, because the mean of its divisors is an integer number (156049981).

Almost surely, 2^312099961 is an apocalyptic number.

It is an amenable number.

312099961 is a deficient number, since it is larger than the sum of its proper divisors (1).

312099961 is an equidigital number, since it uses as much as digits as its factorization.

312099961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 312099961 is about 17666.3510946658. The cubic root of 312099961 is about 678.3147143915.

The spelling of 312099961 in words is "three hundred twelve million, ninety-nine thousand, nine hundred sixty-one".