312672209 has 2 divisors, whose sum is σ = 312672210. Its totient is φ = 312672208.

The previous prime is 312672203. The next prime is 312672233. The reversal of 312672209 is 902276213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198246400 + 114425809 = 14080^2 + 10697^2 .

It is a cyclic number.

It is not a de Polignac number, because 312672209 - 2²⁴ = 295894993 is a prime.

It is equal to p_16901096 and since 312672209 and 16901096 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 (312672203) 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 as a sum of consecutive naturals, namely, 156336104 + 156336105.

It is an arithmetic number, because the mean of its divisors is an integer number (156336105).

Almost surely, 2^312672209 is an apocalyptic number.

It is an amenable number.

312672209 is a deficient number, since it is larger than the sum of its proper divisors (1).

312672209 is an equidigital number, since it uses as much as digits as its factorization.

312672209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 312672209 is about 17682.5396648785. The cubic root of 312672209 is about 678.7290338299.

The spelling of 312672209 in words is "three hundred twelve million, six hundred seventy-two thousand, two hundred nine".