55735 has 8 divisors (see below), whose sum is σ = 68256. Its totient is φ = 43680.

The previous prime is 55733. The next prime is 55763. The reversal of 55735 is 53755.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 55735 - 2¹ = 55733 is a prime.

It is a Duffinian number.

55735 is a lucky number.

It is a plaindrome in base 15.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (8532).

2⁵⁵⁷³⁵ is an apocalyptic number.

55735 is a deficient number, since it is larger than the sum of its proper divisors (12521).

55735 is a wasteful number, since it uses less digits than its factorization.

55735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its digits is 2625, while the sum is 25.

The square root of 55735 is about 236.0826126592. The cubic root of 55735 is about 38.1981797877.

The spelling of 55735 in words is "fifty-five thousand, seven hundred thirty-five".