365729 has 8 divisors (see below), whose sum is σ = 450240. Its totient is φ = 289296.

The previous prime is 365699. The next prime is 365747. The reversal of 365729 is 927563.

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

It is not a de Polignac number, because 365729 - 2⁸ = 365473 is a prime.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 365695 and 365704.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365729.

It is not an unprimeable number, because it can be changed into a prime (365749) 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, 1919 + ... + 2100.

It is an arithmetic number, because the mean of its divisors is an integer number (56280).

2³⁶⁵⁷²⁹ is an apocalyptic number.

It is an amenable number.

365729 is a deficient number, since it is larger than the sum of its proper divisors (84511).

365729 is a wasteful number, since it uses less digits than its factorization.

365729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039.

The product of its digits is 11340, while the sum is 32.

The square root of 365729 is about 604.7553224239. The cubic root of 365729 is about 71.5132418789.

It can be divided in two parts, 365 and 729, that multiplied together give a triangular number (266085 = T₇₂₉).

The spelling of 365729 in words is "three hundred sixty-five thousand, seven hundred twenty-nine".