73971 has 6 divisors (see below), whose sum is σ = 106860. Its totient is φ = 49308.

The previous prime is 73961. The next prime is 73973. The reversal of 73971 is 17937.

It is not a de Polignac number, because 73971 - 2⁵ = 73939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4101 + ... + 4118.

It is an arithmetic number, because the mean of its divisors is an integer number (17810).

2⁷³⁹⁷¹ is an apocalyptic number.

73971 is a deficient number, since it is larger than the sum of its proper divisors (32889).

73971 is a wasteful number, since it uses less digits than its factorization.

73971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8225 (or 8222 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 73971 is about 271.9761018913. The cubic root of 73971 is about 41.9778795081.

The spelling of 73971 in words is "seventy-three thousand, nine hundred seventy-one".