89828901351721 has 9 divisors (see below), whose sum is σ = 104494921606071. Its totient is φ = 76996144291752.

The previous prime is 89828901351691. The next prime is 89828901351743. The reversal of 89828901351721 is 12715310982898.

The square root of 89828901351721 is 9477811.

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., 77659715625625 + 12169185726096 = 8812475^2 + 3488436^2 .

It is not a de Polignac number, because 89828901351721 - 2⁵ = 89828901351689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89828901351751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65667691 + ... + 67021663.

It is an arithmetic number, because the mean of its divisors is an integer number (11610546845119).

Almost surely, 2^{89828901351721} is an apocalyptic number.

89828901351721 is the 9477811-st square number.

89828901351721 is the 4738906-th centered octagonal number.

It is an amenable number.

89828901351721 is a deficient number, since it is larger than the sum of its proper divisors (14666020254350).

89828901351721 is an frugal number, since it uses more digits than its factorization.

89828901351721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707960 (or 1353980 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 64.

The spelling of 89828901351721 in words is "eighty-nine trillion, eight hundred twenty-eight billion, nine hundred one million, three hundred fifty-one thousand, seven hundred twenty-one".