213507 has 12 divisors (see below), whose sum is σ = 352560. Its totient is φ = 121968.

The previous prime is 213491. The next prime is 213523. The reversal of 213507 is 705312.

213507 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213491) and next prime (213523).

It is not a de Polignac number, because 213507 - 2⁴ = 213491 is a prime.

213507 is strictly pandigital in base 7.

213507 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 213507.

It is not an unprimeable number, because it can be changed into a prime (213557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1632 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (29380).

2²¹³⁵⁰⁷ is an apocalyptic number.

213507 is a deficient number, since it is larger than the sum of its proper divisors (139053).

213507 is a wasteful number, since it uses less digits than its factorization.

213507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3399 counting only the distinct ones).

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

The square root of 213507 is about 462.0681767878. The cubic root of 213507 is about 59.7682728610.

Adding to 213507 its reverse (705312), we get a palindrome (918819).

The spelling of 213507 in words is "two hundred thirteen thousand, five hundred seven".