53405 has 8 divisors (see below), whose sum is σ = 69984. Its totient is φ = 38800.

The previous prime is 53401. The next prime is 53407. The reversal of 53405 is 50435.

53405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 53405 - 2² = 53401 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53401) 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, 431 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (8748).

2⁵³⁴⁰⁵ is an apocalyptic number.

53405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53405 is a deficient number, since it is larger than the sum of its proper divisors (16579).

53405 is a wasteful number, since it uses less digits than its factorization.

53405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987.

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 53405 is about 231.0952184707. The cubic root of 53405 is about 37.6582938377.

The spelling of 53405 in words is "fifty-three thousand, four hundred five".