312033089 has 2 divisors, whose sum is σ = 312033090. Its totient is φ = 312033088.

The previous prime is 312033037. The next prime is 312033091. The reversal of 312033089 is 980330213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247905025 + 64128064 = 15745^2 + 8008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312033089 is a prime.

Together with 312033091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312033289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156016544 + 156016545.

It is an arithmetic number, because the mean of its divisors is an integer number (156016545).

Almost surely, 2^312033089 is an apocalyptic number.

It is an amenable number.

312033089 is a deficient number, since it is larger than the sum of its proper divisors (1).

312033089 is an equidigital number, since it uses as much as digits as its factorization.

312033089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 312033089 is about 17664.4583556927. The cubic root of 312033089 is about 678.2662646346.

The spelling of 312033089 in words is "three hundred twelve million, thirty-three thousand, eighty-nine".