118405 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 76032.

The previous prime is 118399. The next prime is 118409. The reversal of 118405 is 504811.

It is a 4-Lehmer number, since φ(118405) divides (118405-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 118405 - 2⁵ = 118373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118409) 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, 496 + ... + 694.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹¹⁸⁴⁰⁵ is an apocalyptic number.

118405 is the 199-th octagonal number.

It is an amenable number.

118405 is a deficient number, since it is larger than the sum of its proper divisors (54395).

118405 is a wasteful number, since it uses less digits than its factorization.

118405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 118405 is about 344.1002760824. The cubic root of 118405 is about 49.1047322548.

The spelling of 118405 in words is "one hundred eighteen thousand, four hundred five".