53802 has 36 divisors (see below), whose sum is σ = 137826. Its totient is φ = 15120.

The previous prime is 53791. The next prime is 53813. The reversal of 53802 is 20835.

It is an interprime number because it is at equal distance from previous prime (53791) and next prime (53813).

It can be written as a sum of positive squares in only one way, i.e., 53361 + 441 = 231^2 + 21^2 .

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

It is an unprimeable number.

53802 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 852 + ... + 912.

2⁵³⁸⁰² is an apocalyptic number.

53802 is the 147-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68913).

53802 is an abundant number, since it is smaller than the sum of its proper divisors (84024).

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

53802 is a wasteful number, since it uses less digits than its factorization.

53802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53802 is about 231.9525813609. The cubic root of 53802 is about 37.7513778133.

The spelling of 53802 in words is "fifty-three thousand, eight hundred two".