215004 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 63360.

The previous prime is 214993. The next prime is 215051. The reversal of 215004 is 400512.

215004 = T₁₇ + T₁₈ + ... + T₁₀₈.

215004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

215004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5224 + ... + 5264.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2²¹⁵⁰⁰⁴ 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 215004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

215004 is an abundant number, since it is smaller than the sum of its proper divisors (349476).

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

215004 is a wasteful number, since it uses less digits than its factorization.

215004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 215004 is about 463.6852380657. The cubic root of 215004 is about 59.9076356646.

Adding to 215004 its reverse (400512), we get a palindrome (615516).

The spelling of 215004 in words is "two hundred fifteen thousand, four".