39053 has 6 divisors (see below), whose sum is σ = 45486. Its totient is φ = 33432.

The previous prime is 39047. The next prime is 39079. The reversal of 39053 is 35093.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 5929 = 182^2 + 77^2 .

It is not a de Polignac number, because 39053 - 2¹⁴ = 22669 is a prime.

It is a nialpdrome in base 15.

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 39053.

It is not an unprimeable number, because it can be changed into a prime (39023) 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, 350 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (7581).

2³⁹⁰⁵³ is an apocalyptic number.

It is an amenable number.

39053 is a deficient number, since it is larger than the sum of its proper divisors (6433).

39053 is an equidigital number, since it uses as much as digits as its factorization.

39053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 39053 is about 197.6183189889. The cubic root of 39053 is about 33.9274693746.

The spelling of 39053 in words is "thirty-nine thousand, fifty-three".