361764 has 36 divisors (see below), whose sum is σ = 986076. Its totient is φ = 111168.

The previous prime is 361763. The next prime is 361769. The reversal of 361764 is 467163.

361764 = T₉₁ + T₉₂ + ... + T₁₄₂.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 324900 = 192^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361764.

It is not an unprimeable number, because it can be changed into a prime (361763) 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 11 ways as a sum of consecutive naturals, for example, 82 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (27391).

2³⁶¹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493038).

361764 is an abundant number, since it is smaller than the sum of its proper divisors (624312).

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

361764 is a wasteful number, since it uses less digits than its factorization.

361764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 791 counting only the distinct ones).

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

The square root of 361764 is about 601.4682036484. The cubic root of 361764 is about 71.2538686727.

It can be divided in two parts, 36 and 1764, that multiplied together give a square (63504 = 252²).

The spelling of 361764 in words is "three hundred sixty-one thousand, seven hundred sixty-four".