116405 has 8 divisors (see below), whose sum is σ = 144384. Its totient is φ = 90000.

The previous prime is 116387. The next prime is 116411. The reversal of 116405 is 504611.

It is a happy number.

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

It is not a de Polignac number, because 116405 - 2⁶ = 116341 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (18048).

2¹¹⁶⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

116405 is a deficient number, since it is larger than the sum of its proper divisors (27979).

116405 is an equidigital number, since it uses as much as digits as its factorization.

116405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 116405 is about 341.1817697357. The cubic root of 116405 is about 48.8266818613.

The spelling of 116405 in words is "one hundred sixteen thousand, four hundred five".