363521 has 4 divisors (see below), whose sum is σ = 366852. Its totient is φ = 360192.

The previous prime is 363497. The next prime is 363523. The reversal of 363521 is 125363.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 125363 = 7 ⋅17909.

It can be written as a sum of positive squares in 2 ways, for example, as 148225 + 215296 = 385^2 + 464^2 .

It is a cyclic number.

It is not a de Polignac number, because 363521 - 2¹⁸ = 101377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 363493 and 363502.

It is not an unprimeable number, because it can be changed into a prime (363523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1496 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (91713).

It is a Proth number, since it is equal to 355 ⋅ 2¹⁰ + 1 and 355 < 2¹⁰.

2³⁶³⁵²¹ is an apocalyptic number.

It is an amenable number.

363521 is a deficient number, since it is larger than the sum of its proper divisors (3331).

363521 is a wasteful number, since it uses less digits than its factorization.

363521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330.

The product of its digits is 540, while the sum is 20.

The square root of 363521 is about 602.9270270937. The cubic root of 363521 is about 71.3690366781.

Adding to 363521 its reverse (125363), we get a palindrome (488884).

It can be divided in two parts, 36 and 3521, that multiplied together give a triangular number (126756 = T₅₀₃).

The spelling of 363521 in words is "three hundred sixty-three thousand, five hundred twenty-one".