53316 has 18 divisors (see below), whose sum is σ = 134862. Its totient is φ = 17760.

The previous prime is 53309. The next prime is 53323. The reversal of 53316 is 61335.

It is an interprime number because it is at equal distance from previous prime (53309) and next prime (53323).

It can be written as a sum of positive squares in only one way, i.e., 44100 + 9216 = 210^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 705 + ... + 776.

2⁵³³¹⁶ is an apocalyptic number.

It is an amenable number.

53316 is an abundant number, since it is smaller than the sum of its proper divisors (81546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53316 is a wasteful number, since it uses less digits than its factorization.

53316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1486 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 53316 is about 230.9025768587. The cubic root of 53316 is about 37.6373628906.

It can be divided in two parts, 5 and 3316, that added together give a triangular number (3321 = T₈₁).

The spelling of 53316 in words is "fifty-three thousand, three hundred sixteen".