71961289 has 9 divisors (see below), whose sum is σ = 76596807. Its totient is φ = 67592544.

The previous prime is 71961287. The next prime is 71961299. The reversal of 71961289 is 98216917.

The square root of 71961289 is 8483.

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., 56025225 + 15936064 = 7485^2 + 3992^2 .

It is not a de Polignac number, because 71961289 - 2¹ = 71961287 is a prime.

It is a super-2 number, since 2×71961289² = 10356854229083042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71961287) 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, 143962 + ... + 144460.

Almost surely, 2^71961289 is an apocalyptic number.

71961289 is the 8483-rd square number.

71961289 is the 4242-nd centered octagonal number.

It is an amenable number.

71961289 is a deficient number, since it is larger than the sum of its proper divisors (4635518).

71961289 is an frugal number, since it uses more digits than its factorization.

71961289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 516 counting only the distinct ones).

The product of its digits is 54432, while the sum is 43.

The cubic root of 71961289 is about 415.9421937213.

The spelling of 71961289 in words is "seventy-one million, nine hundred sixty-one thousand, two hundred eighty-nine".