53973 has 8 divisors (see below), whose sum is σ = 80000. Its totient is φ = 35964.

The previous prime is 53959. The next prime is 53987. The reversal of 53973 is 37935.

It is an interprime number because it is at equal distance from previous prime (53959) and next prime (53987).

It is not a de Polignac number, because 53973 - 2⁸ = 53717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1999 = 53973 / (5 + 3 + 9 + 7 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53923) 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, 973 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (10000).

2⁵³⁹⁷³ is an apocalyptic number.

It is an amenable number.

53973 is a deficient number, since it is larger than the sum of its proper divisors (26027).

53973 is a wasteful number, since it uses less digits than its factorization.

53973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2002 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 53973 is about 232.3208987586. The cubic root of 53973 is about 37.7913308414.

The spelling of 53973 in words is "fifty-three thousand, nine hundred seventy-three".