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314513 is a prime number

314513 has 2 divisors, whose sum is σ = 314514. Its totient is φ = 314512.

The previous prime is 314497. The next prime is 314527. The reversal of 314513 is 315413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253009 + 61504 = 503^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 314513 - 24 = 314497 is a prime.

It is a super-3 number, since 3×3145133 = 93333393852611091, which contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 314491 and 314500.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314513.

It is not a weakly prime, because it can be changed into another prime (314543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157256 + 157257.

It is an arithmetic number, because the mean of its divisors is an integer number (157257).

2314513 is an apocalyptic number.

It is an amenable number.

314513 is a deficient number, since it is larger than the sum of its proper divisors (1).

314513 is an equidigital number, since it uses as much as digits as its factorization.

314513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 180, while the sum is 17.

The square root of 314513 is about 560.8145861156. The cubic root of 314513 is about 68.0058385990.

Adding to 314513 its reverse (315413), we get a palindrome (629926).

Subtracting 314513 from its reverse (315413), we obtain a square (900 = 302).

The spelling of 314513 in words is "three hundred fourteen thousand, five hundred thirteen".