104971 has 2 divisors, whose sum is σ = 104972. Its totient is φ = 104970.

The previous prime is 104959. The next prime is 104987. The reversal of 104971 is 179401.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 104971 - 2⁹ = 104459 is a prime.

It is a super-2 number, since 2×104971² = 22037821682, which contains 22 as substring.

104971 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (104911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52485 + 52486.

It is an arithmetic number, because the mean of its divisors is an integer number (52486).

2¹⁰⁴⁹⁷¹ is an apocalyptic number.

104971 is a deficient number, since it is larger than the sum of its proper divisors (1).

104971 is an equidigital number, since it uses as much as digits as its factorization.

104971 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 104971 is about 323.9922838587. The cubic root of 104971 is about 47.1725961294.

The spelling of 104971 in words is "one hundred four thousand, nine hundred seventy-one".