361809 has 12 divisors (see below), whose sum is σ = 597376. Its totient is φ = 206712.

The previous prime is 361807. The next prime is 361843. The reversal of 361809 is 908163.

It is not a de Polignac number, because 361809 - 2¹ = 361807 is a prime.

It is a Duffinian number.

361809 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361809.

It is not an unprimeable number, because it can be changed into a prime (361807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2809 + ... + 2934.

2³⁶¹⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

361809 is a deficient number, since it is larger than the sum of its proper divisors (235567).

361809 is a wasteful number, since it uses less digits than its factorization.

361809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5756 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 361809 is about 601.5056109464. The cubic root of 361809 is about 71.2568229846.

The spelling of 361809 in words is "three hundred sixty-one thousand, eight hundred nine".