114005936 has 40 divisors (see below), whose sum is σ = 245073600. Its totient is φ = 50937920.

The previous prime is 114005933. The next prime is 114005977. The reversal of 114005936 is 639500411.

It is a junction number, because it is equal to n+sod(n) for n = 114005899 and 114005908.

It is not an unprimeable number, because it can be changed into a prime (114005933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4895 + ... + 15873.

It is an arithmetic number, because the mean of its divisors is an integer number (6126840).

Almost surely, 2^114005936 is an apocalyptic number.

114005936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114005936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122536800).

114005936 is an abundant number, since it is smaller than the sum of its proper divisors (131067664).

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

114005936 is a wasteful number, since it uses less digits than its factorization.

114005936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11057 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 114005936 is about 10677.3562270817. The cubic root of 114005936 is about 484.8891743800.

The spelling of 114005936 in words is "one hundred fourteen million, five thousand, nine hundred thirty-six".