329312257 has 2 divisors, whose sum is σ = 329312258. Its totient is φ = 329312256.

The previous prime is 329312239. The next prime is 329312261. The reversal of 329312257 is 752213923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307791936 + 21520321 = 17544^2 + 4639^2 .

It is a cyclic number.

It is not a de Polignac number, because 329312257 - 2²³ = 320923649 is a prime.

It is a super-2 number, since 2×329312257² = 216893125220868098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (329312297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164656128 + 164656129.

It is an arithmetic number, because the mean of its divisors is an integer number (164656129).

Almost surely, 2^329312257 is an apocalyptic number.

It is an amenable number.

329312257 is a deficient number, since it is larger than the sum of its proper divisors (1).

329312257 is an equidigital number, since it uses as much as digits as its factorization.

329312257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22680, while the sum is 34.

The square root of 329312257 is about 18146.9627486255. The cubic root of 329312257 is about 690.5619290000.

The spelling of 329312257 in words is "three hundred twenty-nine million, three hundred twelve thousand, two hundred fifty-seven".