114401329 has 12 divisors (see below), whose sum is σ = 133779684. Its totient is φ = 97542144.

The previous prime is 114401327. The next prime is 114401351. The reversal of 114401329 is 923104411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12794929 + 101606400 = 3577^2 + 10080^2 .

It is not a de Polignac number, because 114401329 - 2¹ = 114401327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114401323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3409 + ... + 15505.

It is an arithmetic number, because the mean of its divisors is an integer number (11148307).

Almost surely, 2^114401329 is an apocalyptic number.

It is an amenable number.

114401329 is a deficient number, since it is larger than the sum of its proper divisors (19378355).

114401329 is a wasteful number, since it uses less digits than its factorization.

114401329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12304 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 114401329 is about 10695.8556927438. The cubic root of 114401329 is about 485.4490884110.

It can be divided in two parts, 11440 and 1329, that added together give a square (12769 = 113²).

The spelling of 114401329 in words is "one hundred fourteen million, four hundred one thousand, three hundred twenty-nine".