83901 has 4 divisors (see below), whose sum is σ = 111872. Its totient is φ = 55932.

The previous prime is 83891. The next prime is 83903. The reversal of 83901 is 10938.

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.

It is not a de Polignac number, because 83901 - 2⁵ = 83869 is a prime.

It is a D-number.

It is a Duffinian number.

83901 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13981 + ... + 13986.

It is an arithmetic number, because the mean of its divisors is an integer number (27968).

2⁸³⁹⁰¹ is an apocalyptic number.

It is an amenable number.

83901 is a deficient number, since it is larger than the sum of its proper divisors (27971).

83901 is a wasteful number, since it uses less digits than its factorization.

83901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27970.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 83901 is about 289.6566933458. The cubic root of 83901 is about 43.7779793815. Note that the first 3 decimals are identical.

The spelling of 83901 in words is "eighty-three thousand, nine hundred one".