114206667 has 16 divisors (see below), whose sum is σ = 156837120. Its totient is φ = 73880352.

The previous prime is 114206641. The next prime is 114206671. The reversal of 114206667 is 766602411.

It is not a de Polignac number, because 114206667 - 2¹⁴ = 114190283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114201667) 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 15 ways as a sum of consecutive naturals, for example, 17434 + ... + 23072.

It is an arithmetic number, because the mean of its divisors is an integer number (9802320).

Almost surely, 2^114206667 is an apocalyptic number.

114206667 is a deficient number, since it is larger than the sum of its proper divisors (42630453).

114206667 is a wasteful number, since it uses less digits than its factorization.

114206667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 114206667 is about 10686.7519387324. The cubic root of 114206667 is about 485.1735900387.

The spelling of 114206667 in words is "one hundred fourteen million, two hundred six thousand, six hundred sixty-seven".