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311329 is a prime number
BaseRepresentation
bin1001100000000100001
3120211001201
41030000201
534430304
610401201
72434444
oct1140041
9524051
10311329
111a29a7
12130201
13ab925
148165b
15623a4
hex4c021

311329 has 2 divisors, whose sum is σ = 311330. Its totient is φ = 311328.

The previous prime is 311323. The next prime is 311341. The reversal of 311329 is 923113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300304 + 11025 = 548^2 + 105^2 .

It is a cyclic number.

It is not a de Polignac number, because 311329 - 215 = 278561 is a prime.

It is not a weakly prime, because it can be changed into another prime (311323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155664 + 155665.

It is an arithmetic number, because the mean of its divisors is an integer number (155665).

2311329 is an apocalyptic number.

It is an amenable number.

311329 is a deficient number, since it is larger than the sum of its proper divisors (1).

311329 is an equidigital number, since it uses as much as digits as its factorization.

311329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 19.

The square root of 311329 is about 557.9686371114. The cubic root of 311329 is about 67.7755721062.

The spelling of 311329 in words is "three hundred eleven thousand, three hundred twenty-nine".