213003 has 32 divisors (see below), whose sum is σ = 384000. Its totient is φ = 116424.

The previous prime is 212999. The next prime is 213019. The reversal of 213003 is 300312.

It is a happy number.

213003 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 213003 - 2² = 212999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (213023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9250 + ... + 9272.

It is an arithmetic number, because the mean of its divisors is an integer number (12000).

2²¹³⁰⁰³ is an apocalyptic number.

213003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

213003 is a deficient number, since it is larger than the sum of its proper divisors (170997).

213003 is an equidigital number, since it uses as much as digits as its factorization.

213003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 213003 is about 461.5224804926. The cubic root of 213003 is about 59.7212065769.

Adding to 213003 its reverse (300312), we get a palindrome (513315).

The spelling of 213003 in words is "two hundred thirteen thousand, three".