73891 has 4 divisors (see below), whose sum is σ = 77800. Its totient is φ = 69984.

The previous prime is 73883. The next prime is 73897. The reversal of 73891 is 19837.

73891 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 19837 = 83 ⋅239.

It is a 5-Lehmer number, since φ(73891) divides (73891-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 73891 - 2³ = 73883 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (73897) 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, 1926 + ... + 1963.

It is an arithmetic number, because the mean of its divisors is an integer number (19450).

2⁷³⁸⁹¹ is an apocalyptic number.

73891 is a deficient number, since it is larger than the sum of its proper divisors (3909).

73891 is a wasteful number, since it uses less digits than its factorization.

73891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908.

The product of its digits is 1512, while the sum is 28.

The square root of 73891 is about 271.8289903597. The cubic root of 73891 is about 41.9627409550.

The spelling of 73891 in words is "seventy-three thousand, eight hundred ninety-one".