213937 has 4 divisors (see below), whose sum is σ = 214900. Its totient is φ = 212976.

The previous prime is 213929. The next prime is 213943. The reversal of 213937 is 739312.

213937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 57121 + 156816 = 239^2 + 396^2 .

It is a cyclic number.

It is not a de Polignac number, because 213937 - 2³ = 213929 is a prime.

It is a Duffinian number.

213937 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (213947) 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, 43 + ... + 655.

It is an arithmetic number, because the mean of its divisors is an integer number (53725).

2²¹³⁹³⁷ is an apocalyptic number.

It is an amenable number.

213937 is a deficient number, since it is larger than the sum of its proper divisors (963).

213937 is an equidigital number, since it uses as much as digits as its factorization.

213937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962.

The product of its digits is 1134, while the sum is 25.

The square root of 213937 is about 462.5332420486. The cubic root of 213937 is about 59.8083700994.

The spelling of 213937 in words is "two hundred thirteen thousand, nine hundred thirty-seven".