272581 has 2 divisors, whose sum is σ = 272582. Its totient is φ = 272580.

The previous prime is 272567. The next prime is 272603. The reversal of 272581 is 185272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245025 + 27556 = 495^2 + 166^2 .

It is a cyclic number.

It is not a de Polignac number, because 272581 - 2⁵ = 272549 is a prime.

It is a super-2 number, since 2×272581² = 148600803122, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is equal to p₂₃₈₅₇ and since 272581 and 23857 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 (272381) 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, 136290 + 136291.

It is an arithmetic number, because the mean of its divisors is an integer number (136291).

2²⁷²⁵⁸¹ is an apocalyptic number.

It is an amenable number.

272581 is a deficient number, since it is larger than the sum of its proper divisors (1).

272581 is an equidigital number, since it uses as much as digits as its factorization.

272581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120, while the sum is 25.

The square root of 272581 is about 522.0929036101. The cubic root of 272581 is about 64.8383359248.

The spelling of 272581 in words is "two hundred seventy-two thousand, five hundred eighty-one".