19285 has 16 divisors (see below), whose sum is σ = 28800. Its totient is φ = 12096.

The previous prime is 19273. The next prime is 19289. The reversal of 19285 is 58291.

19285 = T₂₁ + T₂₂ + ... + T₄₉.

It is not a de Polignac number, because 19285 - 2⁷ = 19157 is a prime.

It is a super-2 number, since 2×19285² = 743822450, which contains 22 as substring.

19285 is an undulating number in base 12.

Its product of digits (720) is a multiple of the sum of its prime divisors (60).

19285 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19289) 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, 651 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

2¹⁹²⁸⁵ is an apocalyptic number.

It is an amenable number.

19285 is a deficient number, since it is larger than the sum of its proper divisors (9515).

19285 is a wasteful number, since it uses less digits than its factorization.

19285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60.

The product of its digits is 720, while the sum is 25.

The square root of 19285 is about 138.8704432196. The cubic root of 19285 is about 26.8167749734.

The spelling of 19285 in words is "nineteen thousand, two hundred eighty-five".