213524 has 6 divisors (see below), whose sum is σ = 373674. Its totient is φ = 106760.

The previous prime is 213523. The next prime is 213533. The reversal of 213524 is 425312.

It can be written as a sum of positive squares in only one way, i.e., 145924 + 67600 = 382^2 + 260^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213524.

It is not an unprimeable number, because it can be changed into a prime (213523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26687 + ... + 26694.

It is an arithmetic number, because the mean of its divisors is an integer number (62279).

2²¹³⁵²⁴ is an apocalyptic number.

It is an amenable number.

213524 is a deficient number, since it is larger than the sum of its proper divisors (160150).

213524 is a wasteful number, since it uses less digits than its factorization.

213524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53385 (or 53383 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 213524 is about 462.0865719754. The cubic root of 213524 is about 59.7698591223.

Adding to 213524 its reverse (425312), we get a palindrome (638836).

It can be divided in two parts, 213 and 524, that added together give a palindrome (737).

The spelling of 213524 in words is "two hundred thirteen thousand, five hundred twenty-four".