380523 has 16 divisors (see below), whose sum is σ = 596736. Its totient is φ = 212640.

The previous prime is 380503. The next prime is 380533. The reversal of 380523 is 325083.

It is not a de Polignac number, because 380523 - 2⁶ = 380459 is a prime.

It is a d-powerful number, because it can be written as 3¹⁰ + 8⁶ + 5² + 0 + 2⁸ + 3¹⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 380523.

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 380523.

It is not an unprimeable number, because it can be changed into a prime (380503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (37296).

2³⁸⁰⁵²³ is an apocalyptic number.

380523 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

380523 is a deficient number, since it is larger than the sum of its proper divisors (216213).

380523 is a wasteful number, since it uses less digits than its factorization.

380523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 380523 is about 616.8654634521. The cubic root of 380523 is about 72.4647787699.

It can be divided in two parts, 3805 and 23, that added together give a triangular number (3828 = T₈₇).

The spelling of 380523 in words is "three hundred eighty thousand, five hundred twenty-three".