213137 has 4 divisors (see below), whose sum is σ = 214896. Its totient is φ = 211380.

The previous prime is 213133. The next prime is 213139. The reversal of 213137 is 731312.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 213137 - 2² = 213133 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 683 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (53724).

2²¹³¹³⁷ is an apocalyptic number.

It is an amenable number.

213137 is a deficient number, since it is larger than the sum of its proper divisors (1759).

213137 is a wasteful number, since it uses less digits than its factorization.

213137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758.

The product of its digits is 126, while the sum is 17.

The square root of 213137 is about 461.6676293612. The cubic root of 213137 is about 59.7337274711.

Adding to 213137 its reverse (731312), we get a palindrome (944449).

The spelling of 213137 in words is "two hundred thirteen thousand, one hundred thirty-seven".