104967 has 12 divisors (see below), whose sum is σ = 154440. Its totient is φ = 68688.

The previous prime is 104959. The next prime is 104971. The reversal of 104967 is 769401.

It is not a de Polignac number, because 104967 - 2³ = 104959 is a prime.

It is a super-2 number, since 2×104967² = 22036142178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

104967 is a Friedman number, since it can be written as ((10-7)*6)^4-9, using all its digits and the basic arithmetic operations.

2¹⁰⁴⁹⁶⁷ is an apocalyptic number.

104967 is a deficient number, since it is larger than the sum of its proper divisors (49473).

104967 is a wasteful number, since it uses less digits than its factorization.

104967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 104967 is about 323.9861108134. The cubic root of 104967 is about 47.1719969392.

The spelling of 104967 in words is "one hundred four thousand, nine hundred sixty-seven".