83801 has 4 divisors (see below), whose sum is σ = 85632. Its totient is φ = 81972.

The previous prime is 83791. The next prime is 83813. The reversal of 83801 is 10838.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10838 = 2 ⋅5419.

It is a cyclic number.

It is not a de Polignac number, because 83801 - 2⁶ = 83737 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 (83891) 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, 845 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (21408).

2⁸³⁸⁰¹ is an apocalyptic number.

It is an amenable number.

83801 is a deficient number, since it is larger than the sum of its proper divisors (1831).

83801 is a wasteful number, since it uses less digits than its factorization.

83801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 83801 is about 289.4840237388. The cubic root of 83801 is about 43.7605797543.

The spelling of 83801 in words is "eighty-three thousand, eight hundred one".