53350 has 24 divisors (see below), whose sum is σ = 109368. Its totient is φ = 19200.

The previous prime is 53327. The next prime is 53353. The reversal of 53350 is 5335.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53353) 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 11 ways as a sum of consecutive naturals, for example, 502 + ... + 598.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

2⁵³³⁵⁰ is an apocalyptic number.

53350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53350 is an abundant number, since it is smaller than the sum of its proper divisors (56018).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684).

53350 is a wasteful number, since it uses less digits than its factorization.

53350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 53350 is about 230.9761892490. The cubic root of 53350 is about 37.6453617303.

Adding to 53350 its reverse (5335), we get a palindrome (58685).

The spelling of 53350 in words is "fifty-three thousand, three hundred fifty".