84405 has 16 divisors (see below), whose sum is σ = 143424. Its totient is φ = 42240.

The previous prime is 84401. The next prime is 84407. The reversal of 84405 is 50448.

It is not a de Polignac number, because 84405 - 2² = 84401 is a prime.

84405 is a lucky 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 84405.

It is not an unprimeable number, because it can be changed into a prime (84401) 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, 90 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (8964).

2⁸⁴⁴⁰⁵ is an apocalyptic number.

84405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84405 is a deficient number, since it is larger than the sum of its proper divisors (59019).

84405 is a wasteful number, since it uses less digits than its factorization.

84405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 84405 is about 290.5253861541. The cubic root of 84405 is about 43.8654637110.

The spelling of 84405 in words is "eighty-four thousand, four hundred five".