114072585 has 16 divisors (see below), whose sum is σ = 199108800. Its totient is φ = 55307840.

The previous prime is 114072527. The next prime is 114072641. The reversal of 114072585 is 585270411.

It is not a de Polignac number, because 114072585 - 2⁶ = 114072521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345510 + ... + 345839.

It is an arithmetic number, because the mean of its divisors is an integer number (12444300).

Almost surely, 2^114072585 is an apocalyptic number.

114072585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114072585 is a deficient number, since it is larger than the sum of its proper divisors (85036215).

114072585 is a wasteful number, since it uses less digits than its factorization.

114072585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691368.

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 114072585 is about 10680.4768151988. The cubic root of 114072585 is about 484.9836463115.

The spelling of 114072585 in words is "one hundred fourteen million, seventy-two thousand, five hundred eighty-five".