213527 has 8 divisors (see below), whose sum is σ = 228000. Its totient is φ = 199584.

The previous prime is 213523. The next prime is 213533. The reversal of 213527 is 725312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213527 - 2² = 213523 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213499 and 213508.

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 213527.

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 in 7 ways as a sum of consecutive naturals, for example, 974 + ... + 1172.

It is an arithmetic number, because the mean of its divisors is an integer number (28500).

2²¹³⁵²⁷ is an apocalyptic number.

213527 is a deficient number, since it is larger than the sum of its proper divisors (14473).

213527 is a wasteful number, since it uses less digits than its factorization.

213527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265.

The product of its digits is 420, while the sum is 20.

The square root of 213527 is about 462.0898181090. The cubic root of 213527 is about 59.7701390421.

Adding to 213527 its reverse (725312), we get a palindrome (938839).

The spelling of 213527 in words is "two hundred thirteen thousand, five hundred twenty-seven".