114564033 has 24 divisors (see below), whose sum is σ = 168450048. Its totient is φ = 75019392.

The previous prime is 114564031. The next prime is 114564041. The reversal of 114564033 is 330465411.

114564033 is a `hidden beast` number, since 1 + 14 + 5 + 640 + 3 + 3 = 666.

It is not a de Polignac number, because 114564033 - 2¹ = 114564031 is a prime.

It is a super-4 number, since 4×114564033⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114563988 and 114564006.

It is not an unprimeable number, because it can be changed into a prime (114564031) 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 23 ways as a sum of consecutive naturals, for example, 128716 + ... + 129602.

It is an arithmetic number, because the mean of its divisors is an integer number (7018752).

Almost surely, 2^114564033 is an apocalyptic number.

It is an amenable number.

114564033 is a deficient number, since it is larger than the sum of its proper divisors (53886015).

114564033 is a wasteful number, since it uses less digits than its factorization.

114564033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 114564033 is about 10703.4589269077. The cubic root of 114564033 is about 485.6791180626.

The spelling of 114564033 in words is "one hundred fourteen million, five hundred sixty-four thousand, thirty-three".