99821953 has 48 divisors (see below), whose sum is σ = 137272320. Its totient is φ = 70308000.

The previous prime is 99821941. The next prime is 99821993. The reversal of 99821953 is 35912899.

It is not a de Polignac number, because 99821953 - 2¹⁷ = 99690881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99821993) 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 47 ways as a sum of consecutive naturals, for example, 1405908 + ... + 1405978.

It is an arithmetic number, because the mean of its divisors is an integer number (2859840).

Almost surely, 2^99821953 is an apocalyptic number.

It is an amenable number.

99821953 is a deficient number, since it is larger than the sum of its proper divisors (37450367).

99821953 is a wasteful number, since it uses less digits than its factorization.

99821953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its digits is 174960, while the sum is 46.

The square root of 99821953 is about 9991.0936838767. The cubic root of 99821953 is about 463.8832460528.

It can be divided in two parts, 9982 and 1953, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 99821953 in words is "ninety-nine million, eight hundred twenty-one thousand, nine hundred fifty-three".