53008 has 10 divisors (see below), whose sum is σ = 102734. Its totient is φ = 26496.

The previous prime is 53003. The next prime is 53017. The reversal of 53008 is 80035.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 1024 = 228^2 + 32^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 3313 = 53008 / (5 + 3 + 0 + 0 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 52982 and 53000.

It is not an unprimeable number, because it can be changed into a prime (53003) 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 as a sum of consecutive naturals, namely, 1641 + ... + 1672.

2⁵³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

53008 is a deficient number, since it is larger than the sum of its proper divisors (49726).

53008 is a wasteful number, since it uses less digits than its factorization.

53008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 53008 is about 230.2346628985. The cubic root of 53008 is about 37.5647474022.

The spelling of 53008 in words is "fifty-three thousand, eight".