53971 has 4 divisors (see below), whose sum is σ = 55744. Its totient is φ = 52200.

The previous prime is 53959. The next prime is 53987. The reversal of 53971 is 17935.

53971 is nontrivially palindromic in base 14.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 53971 - 2⁵ = 53939 is a prime.

It is a Duffinian number.

53971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (53951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 840 + ... + 901.

It is an arithmetic number, because the mean of its divisors is an integer number (13936).

2⁵³⁹⁷¹ is an apocalyptic number.

53971 is a deficient number, since it is larger than the sum of its proper divisors (1773).

53971 is a wasteful number, since it uses less digits than its factorization.

53971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772.

The product of its digits is 945, while the sum is 25.

The square root of 53971 is about 232.3165943277. The cubic root of 53971 is about 37.7908640426.

It can be divided in two parts, 53 and 971, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 53971 in words is "fifty-three thousand, nine hundred seventy-one".