361332 has 18 divisors (see below), whose sum is σ = 913458. Its totient is φ = 120432.

The previous prime is 361327. The next prime is 361337. The reversal of 361332 is 233163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (361327) and next prime (361337).

It can be written as a sum of positive squares in only one way, i.e., 285156 + 76176 = 534^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361332.

It is not an unprimeable number, because it can be changed into a prime (361337) by changing a digit.

361332 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 5 ways as a sum of consecutive naturals, for example, 4983 + ... + 5054.

2³⁶¹³³² is an apocalyptic number.

It is an amenable number.

361332 is an abundant number, since it is smaller than the sum of its proper divisors (552126).

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

361332 is a wasteful number, since it uses less digits than its factorization.

361332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10047 (or 10042 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 361332 is about 601.1089751451. The cubic root of 361332 is about 71.2254948046.

Adding to 361332 its reverse (233163), we get a palindrome (594495).

The spelling of 361332 in words is "three hundred sixty-one thousand, three hundred thirty-two".