381729 has 16 divisors (see below), whose sum is σ = 553280. Its totient is φ = 233280.

The previous prime is 381713. The next prime is 381737. The reversal of 381729 is 927183.

It is a happy number.

It is not a de Polignac number, because 381729 - 2⁴ = 381713 is a prime.

381729 is a Rhonda number in base 9.

381729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 381696 and 381705.

It is not an unprimeable number, because it can be changed into a prime (381739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2019 + ... + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (34580).

2³⁸¹⁷²⁹ is an apocalyptic number.

It is an amenable number.

381729 is a deficient number, since it is larger than the sum of its proper divisors (171551).

381729 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (381728) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (240).

381729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its digits is 3024, while the sum is 30.

The square root of 381729 is about 617.8422128667. The cubic root of 381729 is about 72.5412527810.

The spelling of 381729 in words is "three hundred eighty-one thousand, seven hundred twenty-nine".