113967 has 24 divisors (see below), whose sum is σ = 198016. Its totient is φ = 64152.

The previous prime is 113963. The next prime is 113969. The reversal of 113967 is 769311.

It is not a de Polignac number, because 113967 - 2² = 113963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

113967 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 113967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1668 + ... + 1734.

2¹¹³⁹⁶⁷ is an apocalyptic number.

113967 is a deficient number, since it is larger than the sum of its proper divisors (84049).

113967 is an frugal number, since it uses more digits than its factorization.

113967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 113967 is about 337.5899880032. The cubic root of 113967 is about 48.4833967329.

The spelling of 113967 in words is "one hundred thirteen thousand, nine hundred sixty-seven".