113971 has 8 divisors (see below), whose sum is σ = 134064. Its totient is φ = 95520.

The previous prime is 113969. The next prime is 113983. The reversal of 113971 is 179311.

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

It is a cyclic number.

It is not a de Polignac number, because 113971 - 2¹ = 113969 is a prime.

It is a Duffinian number.

113971 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113921) 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, 256 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2¹¹³⁹⁷¹ is an apocalyptic number.

113971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113971 is a deficient number, since it is larger than the sum of its proper divisors (20093).

113971 is a wasteful number, since it uses less digits than its factorization.

113971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

The product of its digits is 189, while the sum is 22.

The square root of 113971 is about 337.5959122975. The cubic root of 113971 is about 48.4839639477.

It can be divided in two parts, 11 and 3971, that multiplied together give a square (43681 = 209²).

The spelling of 113971 in words is "one hundred thirteen thousand, nine hundred seventy-one".