363729 has 8 divisors (see below), whose sum is σ = 487872. Its totient is φ = 241040.

The previous prime is 363719. The next prime is 363731. The reversal of 363729 is 927363.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 363729 - 2⁹ = 363217 is a prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 363696 and 363705.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363729.

It is not an unprimeable number, because it can be changed into a prime (363719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (60984).

2³⁶³⁷²⁹ is an apocalyptic number.

It is an amenable number.

363729 is a deficient number, since it is larger than the sum of its proper divisors (124143).

363729 is a wasteful number, since it uses less digits than its factorization.

363729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727.

The product of its digits is 6804, while the sum is 30.

The square root of 363729 is about 603.0994942793. The cubic root of 363729 is about 71.3826460975.

The spelling of 363729 in words is "three hundred sixty-three thousand, seven hundred twenty-nine".