98564 has 12 divisors (see below), whose sum is σ = 176988. Its totient is φ = 48000.

The previous prime is 98563. The next prime is 98573. The reversal of 98564 is 46589.

It can be written as a sum of positive squares in 2 ways, for example, as 40000 + 58564 = 200^2 + 242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 98564.

It is not an unprimeable number, because it can be changed into a prime (98561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (14749).

2⁹⁸⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

98564 is a deficient number, since it is larger than the sum of its proper divisors (78424).

98564 is a wasteful number, since it uses less digits than its factorization.

98564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 98564 is about 313.9490404508. The cubic root of 98564 is about 46.1926388952.

Adding to 98564 its sum of digits (32), we get a square (98596 = 314²).

The spelling of 98564 in words is "ninety-eight thousand, five hundred sixty-four".