99985567 has 12 divisors (see below), whose sum is σ = 110296368. Its totient is φ = 90569600.

The previous prime is 99985559. The next prime is 99985573. The reversal of 99985567 is 76558999.

It is not a de Polignac number, because 99985567 - 2³ = 99985559 is a prime.

It is a super-2 number, since 2×99985567² = 19994227216622978, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99985547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36303 + ... + 38959.

It is an arithmetic number, because the mean of its divisors is an integer number (9191364).

Almost surely, 2^99985567 is an apocalyptic number.

99985567 is a deficient number, since it is larger than the sum of its proper divisors (10310801).

99985567 is a wasteful number, since it uses less digits than its factorization.

99985567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2979 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 58.

The square root of 99985567 is about 9999.2783239592. The cubic root of 99985567 is about 464.1365516030.

The spelling of 99985567 in words is "ninety-nine million, nine hundred eighty-five thousand, five hundred sixty-seven".