363829 has 2 divisors, whose sum is σ = 363830. Its totient is φ = 363828.

The previous prime is 363809. The next prime is 363833. The reversal of 363829 is 928363.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184900 + 178929 = 430^2 + 423^2 .

It is a cyclic number.

It is not a de Polignac number, because 363829 - 2⁹ = 363317 is a prime.

363829 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 363829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (363809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181914 + 181915.

It is an arithmetic number, because the mean of its divisors is an integer number (181915).

2³⁶³⁸²⁹ is an apocalyptic number.

It is an amenable number.

363829 is a deficient number, since it is larger than the sum of its proper divisors (1).

363829 is an equidigital number, since it uses as much as digits as its factorization.

363829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 31.

The square root of 363829 is about 603.1823936423. The cubic root of 363829 is about 71.3891872408.

The spelling of 363829 in words is "three hundred sixty-three thousand, eight hundred twenty-nine".