213837 has 8 divisors (see below), whose sum is σ = 307104. Its totient is φ = 131568.

The previous prime is 213833. The next prime is 213847. The reversal of 213837 is 738312.

213837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 213837 - 2² = 213833 is a prime.

It is a super-3 number, since 3×213837³ = 29333900426901759, which contains 333 as substring.

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213833) 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, 2703 + ... + 2780.

It is an arithmetic number, because the mean of its divisors is an integer number (38388).

2²¹³⁸³⁷ is an apocalyptic number.

It is an amenable number.

213837 is a deficient number, since it is larger than the sum of its proper divisors (93267).

213837 is a wasteful number, since it uses less digits than its factorization.

213837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499.

The product of its digits is 1008, while the sum is 24.

The square root of 213837 is about 462.4251290750. The cubic root of 213837 is about 59.7990499582.

The spelling of 213837 in words is "two hundred thirteen thousand, eight hundred thirty-seven".