71289 has 9 divisors (see below), whose sum is σ = 104143. Its totient is φ = 46992.

The previous prime is 71287. The next prime is 71293. The reversal of 71289 is 98217.

71289 = T₂₆₆ + T₂₆₇.

The square root of 71289 is 267.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 57600 = 117^2 + 240^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 71289 - 2¹ = 71287 is a prime.

It is a super-3 number, since 3×71289³ = 1086898083331707, which contains 333 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (71287) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 757 + ... + 845.

2⁷¹²⁸⁹ is an apocalyptic number.

71289 is the 267-th square number.

71289 is the 134-th centered octagonal number.

It is an amenable number.

71289 is a deficient number, since it is larger than the sum of its proper divisors (32854).

71289 is an equidigital number, since it uses as much as digits as its factorization.

71289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The cubic root of 71289 is about 41.4642843630.

It can be divided in two parts, 7 and 1289, that added together give a 4-th power (1296 = 6⁴).

The spelling of 71289 in words is "seventy-one thousand, two hundred eighty-nine".