213591 has 12 divisors (see below), whose sum is σ = 331512. Its totient is φ = 121968.

The previous prime is 213589. The next prime is 213599. The reversal of 213591 is 195312.

213591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213591 - 2¹ = 213589 is a prime.

It is a super-2 number, since 2×213591² = 91242230562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

213591 is a lucky number.

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 213591.

It is not an unprimeable number, because it can be changed into a prime (213599) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580 + ... + 873.

It is an arithmetic number, because the mean of its divisors is an integer number (27626).

2²¹³⁵⁹¹ is an apocalyptic number.

213591 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213591 is a deficient number, since it is larger than the sum of its proper divisors (117921).

213591 is a wasteful number, since it uses less digits than its factorization.

213591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1463 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 213591 is about 462.1590635268. The cubic root of 213591 is about 59.7761100384.

The spelling of 213591 in words is "two hundred thirteen thousand, five hundred ninety-one".