213927 has 16 divisors (see below), whose sum is σ = 333312. Its totient is φ = 119520.

The previous prime is 213919. The next prime is 213929. The reversal of 213927 is 729312.

It is not a de Polignac number, because 213927 - 2³ = 213919 is a prime.

It is a super-2 number, since 2×213927² = 91529522658, which contains 22 as substring.

It is an Ulam number.

213927 is a lucky number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 213897 and 213906.

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 213927.

It is not an unprimeable number, because it can be changed into a prime (213929) 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, 1198 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2²¹³⁹²⁷ is an apocalyptic number.

213927 is a deficient number, since it is larger than the sum of its proper divisors (119385).

213927 is a wasteful number, since it uses less digits than its factorization.

213927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238.

The product of its digits is 756, while the sum is 24.

The square root of 213927 is about 462.5224318884. The cubic root of 213927 is about 59.8074382160.

The spelling of 213927 in words is "two hundred thirteen thousand, nine hundred twenty-seven".