189405 has 32 divisors (see below), whose sum is σ = 357120. Its totient is φ = 95040.

The previous prime is 189401. The next prime is 189407. The reversal of 189405 is 504981.

It is not a de Polignac number, because 189405 - 2² = 189401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075 + ... + 3135.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2¹⁸⁹⁴⁰⁵ is an apocalyptic number.

189405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

189405 is a deficient number, since it is larger than the sum of its proper divisors (167715).

189405 is a wasteful number, since it uses less digits than its factorization.

189405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 189405 is about 435.2068473726. The cubic root of 189405 is about 57.4288976209.

The spelling of 189405 in words is "one hundred eighty-nine thousand, four hundred five".