114820667 has 16 divisors (see below), whose sum is σ = 132384000. Its totient is φ = 98695584.

The previous prime is 114820649. The next prime is 114820679. The reversal of 114820667 is 766028411.

It is not a de Polignac number, because 114820667 - 2⁶ = 114820603 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (114820627) 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 15 ways as a sum of consecutive naturals, for example, 10634 + ... + 18512.

It is an arithmetic number, because the mean of its divisors is an integer number (8274000).

Almost surely, 2^114820667 is an apocalyptic number.

114820667 is a deficient number, since it is larger than the sum of its proper divisors (17563333).

114820667 is a wasteful number, since it uses less digits than its factorization.

114820667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 114820667 is about 10715.4405882353. The cubic root of 114820667 is about 486.0415029446.

It can be divided in two parts, 1148 and 20667, that multiplied together give a triangular number (23725716 = T₆₈₈₈).

The spelling of 114820667 in words is "one hundred fourteen million, eight hundred twenty thousand, six hundred sixty-seven".