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314200657 is a prime number
BaseRepresentation
bin10010101110100…
…101001001010001
3210220020001021101
4102232211021101
51120413410112
651102224401
710533442621
oct2256451121
9726201241
10314200657
111513a3671
1289285101
1350130664
142da2c881
151c8b6757
hex12ba5251

314200657 has 2 divisors, whose sum is σ = 314200658. Its totient is φ = 314200656.

The previous prime is 314200643. The next prime is 314200661. The reversal of 314200657 is 756002413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244578321 + 69622336 = 15639^2 + 8344^2 .

It is an emirp because it is prime and its reverse (756002413) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314200657 is a prime.

It is not a weakly prime, because it can be changed into another prime (314200637) 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, 157100328 + 157100329.

It is an arithmetic number, because the mean of its divisors is an integer number (157100329).

Almost surely, 2314200657 is an apocalyptic number.

It is an amenable number.

314200657 is a deficient number, since it is larger than the sum of its proper divisors (1).

314200657 is an equidigital number, since it uses as much as digits as its factorization.

314200657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 314200657 is about 17725.7061072331. The cubic root of 314200657 is about 679.8331893310.

The spelling of 314200657 in words is "three hundred fourteen million, two hundred thousand, six hundred fifty-seven".