19215 has 24 divisors (see below), whose sum is σ = 38688. Its totient is φ = 8640.

The previous prime is 19213. The next prime is 19219. The reversal of 19215 is 51291.

19215 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 19215 - 2¹ = 19213 is a prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (1612).

19215 is a Friedman number, since it can be written as 915*21, using all its digits and the basic arithmetic operations.

2¹⁹²¹⁵ is an apocalyptic number.

19215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19215 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344).

19215 is a wasteful number, since it uses less digits than its factorization.

19215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 76 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 19215 is about 138.6181806258. The cubic root of 19215 is about 26.7842894480.

It can be divided in two parts, 1 and 9215, that added together give a square (9216 = 96²).

The spelling of 19215 in words is "nineteen thousand, two hundred fifteen".