272813 has 2 divisors, whose sum is σ = 272814. Its totient is φ = 272812.

The previous prime is 272809. The next prime is 272863. The reversal of 272813 is 318272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 268324 + 4489 = 518^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 272813 - 2² = 272809 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2² + 7 + 8⁴ + 2¹⁸ + 1 + 3⁸ .

It is equal to p₂₃₈₇₃ and since 272813 and 23873 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (272863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136406 + 136407.

It is an arithmetic number, because the mean of its divisors is an integer number (136407).

2²⁷²⁸¹³ is an apocalyptic number.

It is an amenable number.

272813 is a deficient number, since it is larger than the sum of its proper divisors (1).

272813 is an equidigital number, since it uses as much as digits as its factorization.

272813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 23.

The square root of 272813 is about 522.3150390330. The cubic root of 272813 is about 64.8567258447.

The spelling of 272813 in words is "two hundred seventy-two thousand, eight hundred thirteen".