98577 has 10 divisors (see below), whose sum is σ = 147378. Its totient is φ = 65664.

The previous prime is 98573. The next prime is 98597. The reversal of 98577 is 77589.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 20736 = 279^2 + 144^2 .

It is not a de Polignac number, because 98577 - 2² = 98573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 528 + ... + 689.

2⁹⁸⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

98577 is a deficient number, since it is larger than the sum of its proper divisors (48801).

98577 is a wasteful number, since it uses less digits than its factorization.

98577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1220 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 98577 is about 313.9697437652. The cubic root of 98577 is about 46.1946696498.

The spelling of 98577 in words is "ninety-eight thousand, five hundred seventy-seven".