361521 has 6 divisors (see below), whose sum is σ = 522210. Its totient is φ = 241008.

The previous prime is 361511. The next prime is 361523. The reversal of 361521 is 125163.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 1521 = 600^2 + 39^2 .

It is not a de Polignac number, because 361521 - 2¹⁰ = 360497 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 361494 and 361503.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361521.

It is not an unprimeable number, because it can be changed into a prime (361523) 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 5 ways as a sum of consecutive naturals, for example, 20076 + ... + 20093.

It is an arithmetic number, because the mean of its divisors is an integer number (87035).

2³⁶¹⁵²¹ is an apocalyptic number.

It is an amenable number.

361521 is a deficient number, since it is larger than the sum of its proper divisors (160689).

361521 is a wasteful number, since it uses less digits than its factorization.

361521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40175 (or 40172 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 361521 is about 601.2661640239. The cubic root of 361521 is about 71.2379111531.

Adding to 361521 its reverse (125163), we get a palindrome (486684).

It can be divided in two parts, 36 and 1521, that multiplied together give a square (54756 = 234²).

The spelling of 361521 in words is "three hundred sixty-one thousand, five hundred twenty-one".