272257 has 2 divisors, whose sum is σ = 272258. Its totient is φ = 272256.

The previous prime is 272249. The next prime is 272263. The reversal of 272257 is 752272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167281 + 104976 = 409^2 + 324^2 .

It is a cyclic number.

It is not a de Polignac number, because 272257 - 2³ = 272249 is a prime.

272257 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (272227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 136128 + 136129.

It is an arithmetic number, because the mean of its divisors is an integer number (136129).

2²⁷²²⁵⁷ is an apocalyptic number.

It is an amenable number.

272257 is a deficient number, since it is larger than the sum of its proper divisors (1).

272257 is an equidigital number, since it uses as much as digits as its factorization.

272257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1960, while the sum is 25.

The square root of 272257 is about 521.7825217464. The cubic root of 272257 is about 64.8126359802.

It can be divided in two parts, 272 and 257, that added together give a square (529 = 23²).

The spelling of 272257 in words is "two hundred seventy-two thousand, two hundred fifty-seven".