213075 has 18 divisors (see below), whose sum is σ = 382044. Its totient is φ = 113520.

The previous prime is 213067. The next prime is 213079. The reversal of 213075 is 570312.

It is not a de Polignac number, because 213075 - 2³ = 213067 is a prime.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (213079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 249 + ... + 698.

213075 is a Friedman number, since it can be written as 71025*3, using all its digits and the basic arithmetic operations.

2²¹³⁰⁷⁵ is an apocalyptic number.

213075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213075 is a deficient number, since it is larger than the sum of its proper divisors (168969).

213075 is a wasteful number, since it uses less digits than its factorization.

213075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 213075 is about 461.6004766029. The cubic root of 213075 is about 59.7279348741.

Adding to 213075 its reverse (570312), we get a palindrome (783387).

It can be divided in two parts, 21307 and 5, that added together give a palindrome (21312).

The spelling of 213075 in words is "two hundred thirteen thousand, seventy-five".