89594258329 has 9 divisors (see below), whose sum is σ = 91739480319. Its totient is φ = 87498099360.

The previous prime is 89594258219. The next prime is 89594258371. The reversal of 89594258329 is 92385249598.

The square root of 89594258329 is 299323.

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., 70184195929 + 19410062400 = 264923^2 + 139320^2 .

It is not a de Polignac number, because 89594258329 - 2²³ = 89585869721 is a prime.

It is a super-2 number, since 2×89594258329² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89594258389) 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, 12867409 + ... + 12874369.

It is an arithmetic number, because the mean of its divisors is an integer number (10193275591).

Almost surely, 2^89594258329 is an apocalyptic number.

89594258329 is the 299323-rd square number.

89594258329 is the 149662-nd centered octagonal number.

It is an amenable number.

89594258329 is a deficient number, since it is larger than the sum of its proper divisors (2145221990).

89594258329 is an frugal number, since it uses more digits than its factorization.

89594258329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14008 (or 7004 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 64.

Multiplying 89594258329 by its sum of digits (64), we get a square (5734032533056 = 2394584²).

It can be divided in two parts, 895942 and 58329, that added together give a triangular number (954271 = T₁₃₈₁).

The spelling of 89594258329 in words is "eighty-nine billion, five hundred ninety-four million, two hundred fifty-eight thousand, three hundred twenty-nine".