89661961 has 9 divisors (see below), whose sum is σ = 95417749. Its totient is φ = 84236224.

The previous prime is 89661959. The next prime is 89661967. The reversal of 89661961 is 16916698.

The square root of 89661961 is 9469.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3171961 + 86490000 = 1781^2 + 9300^2 .

It is not a de Polignac number, because 89661961 - 2¹ = 89661959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89661967) 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, 160695 + ... + 161251.

Almost surely, 2^89661961 is an apocalyptic number.

89661961 is the 9469-th square number.

89661961 is the 4735-th centered octagonal number.

It is an amenable number.

89661961 is a deficient number, since it is larger than the sum of its proper divisors (5755788).

89661961 is an frugal number, since it uses more digits than its factorization.

89661961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 574 counting only the distinct ones).

The product of its digits is 139968, while the sum is 46.

The cubic root of 89661961 is about 447.5787005139.

The spelling of 89661961 in words is "eighty-nine million, six hundred sixty-one thousand, nine hundred sixty-one".