361329 has 8 divisors (see below), whose sum is σ = 493152. Its totient is φ = 235200.

The previous prime is 361327. The next prime is 361337. The reversal of 361329 is 923163.

361329 is nontrivially palindromic in base 7.

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

It is not a de Polignac number, because 361329 - 2¹ = 361327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 361299 and 361308.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361329.

It is not an unprimeable number, because it can be changed into a prime (361321) 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, 1272 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (61644).

2³⁶¹³²⁹ is an apocalyptic number.

It is an amenable number.

361329 is a deficient number, since it is larger than the sum of its proper divisors (131823).

361329 is a wasteful number, since it uses less digits than its factorization.

361329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847.

The product of its digits is 972, while the sum is 24.

The square root of 361329 is about 601.1064797521. The cubic root of 361329 is about 71.2252976848.

The spelling of 361329 in words is "three hundred sixty-one thousand, three hundred twenty-nine".