213537 has 16 divisors (see below), whose sum is σ = 311040. Its totient is φ = 129792.

The previous prime is 213533. The next prime is 213539. The reversal of 213537 is 735312.

It is a happy number.

It is not a de Polignac number, because 213537 - 2² = 213533 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2664 + ... + 2742.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2²¹³⁵³⁷ is an apocalyptic number.

It is an amenable number.

213537 is a deficient number, since it is larger than the sum of its proper divisors (97503).

213537 is a wasteful number, since it uses less digits than its factorization.

213537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152.

The product of its digits is 630, while the sum is 21.

The square root of 213537 is about 462.1006383895. The cubic root of 213537 is about 59.7710720889.

Adding to 213537 its reverse (735312), we get a palindrome (948849).

The spelling of 213537 in words is "two hundred thirteen thousand, five hundred thirty-seven".