53829 has 6 divisors (see below), whose sum is σ = 77766. Its totient is φ = 35880.

The previous prime is 53819. The next prime is 53831. The reversal of 53829 is 92835.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 22500 = 177^2 + 150^2 .

It is not a de Polignac number, because 53829 - 2⁴ = 53813 is a prime.

It is a super-2 number, since 2×53829² = 5795122482, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53819) 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, 2982 + ... + 2999.

It is an arithmetic number, because the mean of its divisors is an integer number (12961).

2⁵³⁸²⁹ is an apocalyptic number.

It is an amenable number.

53829 is a deficient number, since it is larger than the sum of its proper divisors (23937).

53829 is a wasteful number, since it uses less digits than its factorization.

53829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5984 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 53829 is about 232.0107756118. The cubic root of 53829 is about 37.7576918087.

The spelling of 53829 in words is "fifty-three thousand, eight hundred twenty-nine".