53795 has 16 divisors (see below), whose sum is σ = 77760. Its totient is φ = 34944.

The previous prime is 53791. The next prime is 53813. The reversal of 53795 is 59735.

It is not a de Polignac number, because 53795 - 2² = 53791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (53791) 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 15 ways as a sum of consecutive naturals, for example, 989 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁵³⁷⁹⁵ is an apocalyptic number.

53795 is a deficient number, since it is larger than the sum of its proper divisors (23965).

53795 is a wasteful number, since it uses less digits than its factorization.

53795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94.

The product of its digits is 4725, while the sum is 29.

The square root of 53795 is about 231.9374915791. The cubic root of 53795 is about 37.7497405067.

Adding to 53795 its sum of digits (29), we get a square (53824 = 232²).

It can be divided in two parts, 537 and 95, that multiplied together give a palindrome (51015).

The spelling of 53795 in words is "fifty-three thousand, seven hundred ninety-five".