114329985 has 96 divisors (see below), whose sum is σ = 236390400. Its totient is φ = 46650240.

The previous prime is 114329959. The next prime is 114330001. The reversal of 114329985 is 589923411.

114329985 = T₁₄₇₀ + T₁₄₇₁ + ... + T₁₅₆₈.

It is not a de Polignac number, because 114329985 - 2⁹ = 114329473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638626 + ... + 638804.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 2^114329985 is an apocalyptic number.

114329985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114329985 is an abundant number, since it is smaller than the sum of its proper divisors (122060415).

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

114329985 is a wasteful number, since it uses less digits than its factorization.

114329985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 284 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 114329985 is about 10692.5200490810. The cubic root of 114329985 is about 485.3481540305.

The spelling of 114329985 in words is "one hundred fourteen million, three hundred twenty-nine thousand, nine hundred eighty-five".