215516 has 24 divisors (see below), whose sum is σ = 443520. Its totient is φ = 89712.

The previous prime is 215507. The next prime is 215521. The reversal of 215516 is 615512.

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 215516.

It is an unprimeable number.

215516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1115 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2²¹⁵⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760).

215516 is an abundant number, since it is smaller than the sum of its proper divisors (228004).

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

215516 is a wasteful number, since it uses less digits than its factorization.

215516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its digits is 300, while the sum is 20.

The square root of 215516 is about 464.2370084343. The cubic root of 215516 is about 59.9551516707.

Subtracting from 215516 its sum of digits (20), we obtain a triangular number (215496 = T₆₅₆).

The spelling of 215516 in words is "two hundred fifteen thousand, five hundred sixteen".