53735 has 8 divisors (see below), whose sum is σ = 70416. Its totient is φ = 39040.

The previous prime is 53731. The next prime is 53759.

53735 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 53735 - 2² = 53731 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (8802).

2⁵³⁷³⁵ is an apocalyptic number.

53735 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53735 is a deficient number, since it is larger than the sum of its proper divisors (16681).

53735 is a wasteful number, since it uses less digits than its factorization.

53735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993.

The product of its digits is 1575, while the sum is 23.

The square root of 53735 is about 231.8081102982. The cubic root of 53735 is about 37.7357006205.

The spelling of 53735 in words is "fifty-three thousand, seven hundred thirty-five".