107967 has 16 divisors (see below), whose sum is σ = 159840. Its totient is φ = 64512.

The previous prime is 107951. The next prime is 107971. The reversal of 107967 is 769701.

It is not a de Polignac number, because 107967 - 2⁴ = 107951 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

2¹⁰⁷⁹⁶⁷ is an apocalyptic number.

107967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

107967 is a deficient number, since it is larger than the sum of its proper divisors (51873).

107967 is a wasteful number, since it uses less digits than its factorization.

107967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 107967 is about 328.5833227661. The cubic root of 107967 is about 47.6171806728.

The spelling of 107967 in words is "one hundred seven thousand, nine hundred sixty-seven".