89008461 has 12 divisors (see below), whose sum is σ = 129894492. Its totient is φ = 58726656.

The previous prime is 89008433. The next prime is 89008501. The reversal of 89008461 is 16480098.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71318025 + 17690436 = 8445^2 + 4206^2 .

It is not a de Polignac number, because 89008461 - 2⁵ = 89008429 is a prime.

It is a super-2 number, since 2×89008461² = 15845012259177042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89008411) 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 11 ways as a sum of consecutive naturals, for example, 50106 + ... + 51851.

It is an arithmetic number, because the mean of its divisors is an integer number (10824541).

Almost surely, 2^89008461 is an apocalyptic number.

It is an amenable number.

89008461 is a deficient number, since it is larger than the sum of its proper divisors (40886031).

89008461 is a wasteful number, since it uses less digits than its factorization.

89008461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102060 (or 102057 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 89008461 is about 9434.4295535024. The cubic root of 89008461 is about 446.4886575027.

The spelling of 89008461 in words is "eighty-nine million, eight thousand, four hundred sixty-one".