215512 has 32 divisors (see below), whose sum is σ = 460800. Its totient is φ = 93600.

The previous prime is 215507. The next prime is 215521.

215512 is nontrivially palindromic in base 10.

215512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

215512 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, 2689 + ... + 2767.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2²¹⁵⁵¹² is an apocalyptic number.

215512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400).

215512 is an abundant number, since it is smaller than the sum of its proper divisors (245288).

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

215512 is a wasteful number, since it uses less digits than its factorization.

215512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The square root of 215512 is about 464.2327002700. The cubic root of 215512 is about 59.9547807437.

Subtracting from 215512 its sum of digits (16), we obtain a triangular number (215496 = T₆₅₆).

It can be divided in two parts, 215 and 512, that added together give a palindrome (727).

The spelling of 215512 in words is "two hundred fifteen thousand, five hundred twelve".