83931 has 8 divisors (see below), whose sum is σ = 113424. Its totient is φ = 55200.

The previous prime is 83921. The next prime is 83933. The reversal of 83931 is 13938.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 83931 - 2¹¹ = 81883 is a prime.

It is a super-2 number, since 2×83931² = 14088825522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83933) 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 7 ways as a sum of consecutive naturals, for example, 165 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (14178).

2⁸³⁹³¹ is an apocalyptic number.

83931 is a deficient number, since it is larger than the sum of its proper divisors (29493).

83931 is a wasteful number, since it uses less digits than its factorization.

83931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381.

The product of its digits is 648, while the sum is 24.

The square root of 83931 is about 289.7084741598. The cubic root of 83931 is about 43.7831965735.

The spelling of 83931 in words is "eighty-three thousand, nine hundred thirty-one".