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313997 is a prime number
BaseRepresentation
bin1001100101010001101
3120221201112
41030222031
540021442
610421405
72445305
oct1145215
9527645
10313997
111a4a02
12131865
13acbc8
1482605
1563082
hex4ca8d

313997 has 2 divisors, whose sum is σ = 313998. Its totient is φ = 313996.

The previous prime is 313993. The next prime is 314003. The reversal of 313997 is 799313.

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., 292681 + 21316 = 541^2 + 146^2 .

It is an emirp because it is prime and its reverse (799313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313997 - 22 = 313993 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313997.

It is not a weakly prime, because it can be changed into another prime (313991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156998 + 156999.

It is an arithmetic number, because the mean of its divisors is an integer number (156999).

2313997 is an apocalyptic number.

It is an amenable number.

313997 is a deficient number, since it is larger than the sum of its proper divisors (1).

313997 is an equidigital number, since it uses as much as digits as its factorization.

313997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5103, while the sum is 32.

The square root of 313997 is about 560.3543521737. The cubic root of 313997 is about 67.9686273966.

The spelling of 313997 in words is "three hundred thirteen thousand, nine hundred ninety-seven".