113966208 has 48 divisors (see below), whose sum is σ = 327952950. Its totient is φ = 37988352.

The previous prime is 113966207. The next prime is 113966227. The reversal of 113966208 is 802669311.

It can be written as a sum of positive squares in only one way, i.e., 109998144 + 3968064 = 10488^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113966207) 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 5 ways as a sum of consecutive naturals, for example, 48313 + ... + 50616.

Almost surely, 2^113966208 is an apocalyptic number.

113966208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113966208 is an abundant number, since it is smaller than the sum of its proper divisors (213986742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113966208 is an equidigital number, since it uses as much as digits as its factorization.

113966208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98949 (or 98934 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 113966208 is about 10675.4956793584. The cubic root of 113966208 is about 484.8328442278.

The spelling of 113966208 in words is "one hundred thirteen million, nine hundred sixty-six thousand, two hundred eight".