381529 has 2 divisors, whose sum is σ = 381530. Its totient is φ = 381528.

The previous prime is 381527. The next prime is 381533. The reversal of 381529 is 925183.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300304 + 81225 = 548^2 + 285^2 .

It is a cyclic number.

It is not a de Polignac number, because 381529 - 2¹ = 381527 is a prime.

Together with 381527, it forms a pair of twin primes.

381529 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 381497 and 381506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (381523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 190764 + 190765.

It is an arithmetic number, because the mean of its divisors is an integer number (190765).

2³⁸¹⁵²⁹ is an apocalyptic number.

It is an amenable number.

381529 is a deficient number, since it is larger than the sum of its proper divisors (1).

381529 is an equidigital number, since it uses as much as digits as its factorization.

381529 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2160, while the sum is 28.

The square root of 381529 is about 617.6803380390. The cubic root of 381529 is about 72.5285816757.

Subtracting from 381529 its sum of digits (28), we obtain a triangular number (381501 = T₈₇₃).

It can be divided in two parts, 3815 and 29, that added together give a square (3844 = 62²).

The spelling of 381529 in words is "three hundred eighty-one thousand, five hundred twenty-nine".