361746 has 80 divisors (see below), whose sum is σ = 1045440. Its totient is φ = 90720.

The previous prime is 361727. The next prime is 361747. The reversal of 361746 is 647163.

361746 is a `hidden beast` number, since 3 + 617 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 361746.

It is not an unprimeable number, because it can be changed into a prime (361747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12460 + ... + 12488.

It is an arithmetic number, because the mean of its divisors is an integer number (13068).

2³⁶¹⁷⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522720).

361746 is an abundant number, since it is smaller than the sum of its proper divisors (683694).

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

361746 is a wasteful number, since it uses less digits than its factorization.

361746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 361746 is about 601.4532400777. The cubic root of 361746 is about 71.2526868793.

It can be divided in two parts, 3617 and 46, that added together give a palindrome (3663).

The spelling of 361746 in words is "three hundred sixty-one thousand, seven hundred forty-six".