89120757961 has 9 divisors (see below), whose sum is σ = 89450054631. Its totient is φ = 88792672392.

The previous prime is 89120757923. The next prime is 89120757967. The reversal of 89120757961 is 16975702198.

It is a happy number.

The square root of 89120757961 is 298531.

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., 290532025 + 88830225936 = 17045^2 + 298044^2 .

It is not a de Polignac number, because 89120757961 - 2⁷ = 89120757833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89120757967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 145384291 + ... + 145384903.

It is an arithmetic number, because the mean of its divisors is an integer number (9938894959).

Almost surely, 2^89120757961 is an apocalyptic number.

89120757961 is the 298531-st square number.

89120757961 is the 149266-th centered octagonal number.

It is an amenable number.

89120757961 is a deficient number, since it is larger than the sum of its proper divisors (329296670).

89120757961 is an frugal number, since it uses more digits than its factorization.

89120757961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 55.

The spelling of 89120757961 in words is "eighty-nine billion, one hundred twenty million, seven hundred fifty-seven thousand, nine hundred sixty-one".