361104 has 20 divisors (see below), whose sum is σ = 932976. Its totient is φ = 120352.

The previous prime is 361093. The next prime is 361111. The reversal of 361104 is 401163.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361104.

It is an unprimeable number.

361104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3714 + ... + 3809.

2³⁶¹¹⁰⁴ is an apocalyptic number.

It is an amenable number.

361104 is an abundant number, since it is smaller than the sum of its proper divisors (571872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361104 is a wasteful number, since it uses less digits than its factorization.

361104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 361104 is about 600.9192957461. The cubic root of 361104 is about 71.2105105891.

Adding to 361104 its reverse (401163), we get a palindrome (762267).

It can be divided in two parts, 361 and 104, that added together give a triangular number (465 = T₃₀).

The spelling of 361104 in words is "three hundred sixty-one thousand, one hundred four".