98386561 has 27 divisors (see below), whose sum is σ = 125078121. Its totient is φ = 77130144.

The previous prime is 98386523. The next prime is 98386573. The reversal of 98386561 is 16568389.

The square root of 98386561 is 9919.

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 3441025 + 94945536 = 1855^2 + 9744^2 .

It is not a de Polignac number, because 98386561 - 2¹¹ = 98384513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (98386061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 902575 + ... + 902683.

It is an arithmetic number, because the mean of its divisors is an integer number (4632523).

Almost surely, 2^98386561 is an apocalyptic number.

98386561 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

98386561 is the 9919-th square number.

98386561 is the 4960-th centered octagonal number.

It is an amenable number.

98386561 is a deficient number, since it is larger than the sum of its proper divisors (26691560).

98386561 is a wasteful number, since it uses less digits than its factorization.

98386561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The cubic root of 98386561 is about 461.6490294336.

The spelling of 98386561 in words is "ninety-eight million, three hundred eighty-six thousand, five hundred sixty-one".