213540 has 24 divisors (see below), whose sum is σ = 598080. Its totient is φ = 56928.

The previous prime is 213539. The next prime is 213553. The reversal of 213540 is 45312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720 + ... + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (24920).

2²¹³⁵⁴⁰ is an apocalyptic number.

213540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213540 is an abundant number, since it is smaller than the sum of its proper divisors (384540).

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

213540 is a wasteful number, since it uses less digits than its factorization.

213540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 213540 is about 462.1038844243. The cubic root of 213540 is about 59.7713519972.

Adding to 213540 its reverse (45312), we get a palindrome (258852).

The spelling of 213540 in words is "two hundred thirteen thousand, five hundred forty".