104997 has 8 divisors (see below), whose sum is σ = 144640. Its totient is φ = 67680.

The previous prime is 104987. The next prime is 104999. The reversal of 104997 is 799401.

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

It is not a de Polignac number, because 104997 - 2⁶ = 104933 is a prime.

It is a super-3 number, since 3×104997³ = 3472577333504919, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 104997.

It is not an unprimeable number, because it can be changed into a prime (104999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (18080).

2¹⁰⁴⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

104997 is a deficient number, since it is larger than the sum of its proper divisors (39643).

104997 is a wasteful number, since it uses less digits than its factorization.

104997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 104997 is about 324.0324057868. The cubic root of 104997 is about 47.1764904947.

The spelling of 104997 in words is "one hundred four thousand, nine hundred ninety-seven".