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313949 is a prime number
BaseRepresentation
bin1001100101001011101
3120221122202
41030221131
540021244
610421245
72445206
oct1145135
9527582
10313949
111a4969
12131825
13acb8c
14825ad
156304e
hex4ca5d

313949 has 2 divisors, whose sum is σ = 313950. Its totient is φ = 313948.

The previous prime is 313933. The next prime is 313961. The reversal of 313949 is 949313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 11449 = 550^2 + 107^2 .

It is a cyclic number.

It is not a de Polignac number, because 313949 - 24 = 313933 is a prime.

It is a Chen 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 313949.

It is not a weakly prime, because it can be changed into another prime (313909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156974 + 156975.

It is an arithmetic number, because the mean of its divisors is an integer number (156975).

2313949 is an apocalyptic number.

It is an amenable number.

313949 is a deficient number, since it is larger than the sum of its proper divisors (1).

313949 is an equidigital number, since it uses as much as digits as its factorization.

313949 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 29.

The square root of 313949 is about 560.3115204955. The cubic root of 313949 is about 67.9651638175.

The spelling of 313949 in words is "three hundred thirteen thousand, nine hundred forty-nine".