114057829 has 8 divisors (see below), whose sum is σ = 114900632. Its totient is φ = 113218560.

The previous prime is 114057803. The next prime is 114057857. The reversal of 114057829 is 928750411.

It can be written as a sum of positive squares in 4 ways, for example, as 40132225 + 73925604 = 6335^2 + 8598^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114057829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114057869) 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 7 ways as a sum of consecutive naturals, for example, 103807 + ... + 104899.

It is an arithmetic number, because the mean of its divisors is an integer number (14362579).

Almost surely, 2^114057829 is an apocalyptic number.

It is an amenable number.

114057829 is a deficient number, since it is larger than the sum of its proper divisors (842803).

114057829 is a wasteful number, since it uses less digits than its factorization.

114057829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 114057829 is about 10679.7859997286. The cubic root of 114057829 is about 484.9627335237.

The spelling of 114057829 in words is "one hundred fourteen million, fifty-seven thousand, eight hundred twenty-nine".