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313289 is a prime number
BaseRepresentation
bin1001100011111001001
3120220202022
41030133021
540011124
610414225
72443244
oct1143711
9526668
10313289
111a4419
12131375
13ac7a2
148225b
1562c5e
hex4c7c9

313289 has 2 divisors, whose sum is σ = 313290. Its totient is φ = 313288.

The previous prime is 313273. The next prime is 313297. The reversal of 313289 is 982313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 55225 = 508^2 + 235^2 .

It is a cyclic number.

It is not a de Polignac number, because 313289 - 24 = 313273 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313289.

It is not a weakly prime, because it can be changed into another prime (313219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156644 + 156645.

It is an arithmetic number, because the mean of its divisors is an integer number (156645).

2313289 is an apocalyptic number.

It is an amenable number.

313289 is a deficient number, since it is larger than the sum of its proper divisors (1).

313289 is an equidigital number, since it uses as much as digits as its factorization.

313289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 26.

The square root of 313289 is about 559.7222525503. The cubic root of 313289 is about 67.9175037639.

The spelling of 313289 in words is "three hundred thirteen thousand, two hundred eighty-nine".