361164 has 12 divisors (see below), whose sum is σ = 842744. Its totient is φ = 120384.

The previous prime is 361159. The next prime is 361183. The reversal of 361164 is 461163.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 361164.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361164.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15037 + ... + 15060.

2³⁶¹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

361164 is an abundant number, since it is smaller than the sum of its proper divisors (481580).

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

361164 is a wasteful number, since it uses less digits than its factorization.

361164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30104 (or 30102 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 361164 is about 600.9692171817. The cubic root of 361164 is about 71.2144544151.

Subtracting 361164 from its reverse (461163), we obtain a palindrome (99999).

It can be divided in two parts, 361 and 164, that added together give a palindrome (525).

The spelling of 361164 in words is "three hundred sixty-one thousand, one hundred sixty-four".