361024 has 14 divisors (see below), whose sum is σ = 716534. Its totient is φ = 180480.

The previous prime is 361013. The next prime is 361033. The reversal of 361024 is 420163.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 1024 = 600^2 + 32^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 360989 and 361007.

It is an unprimeable number.

361024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2757 + ... + 2884.

It is an arithmetic number, because the mean of its divisors is an integer number (51181).

2³⁶¹⁰²⁴ is an apocalyptic number.

It is an amenable number.

361024 is a deficient number, since it is larger than the sum of its proper divisors (355510).

361024 is an equidigital number, since it uses as much as digits as its factorization.

361024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5653 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 361024 is about 600.8527273800. The cubic root of 361024 is about 71.2052514748.

Adding to 361024 its reverse (420163), we get a palindrome (781187).

It can be divided in two parts, 36 and 1024, that multiplied together give a square (36864 = 192²).

The spelling of 361024 in words is "three hundred sixty-one thousand, twenty-four".