213758 has 8 divisors (see below), whose sum is σ = 339552. Its totient is φ = 100576.

The previous prime is 213751. The next prime is 213791. The reversal of 213758 is 857312.

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

It is a Curzon number.

It is a plaindrome in base 11.

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 213758.

It is not an unprimeable number, because it can be changed into a prime (213751) by changing a digit.

213758 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3110 + ... + 3177.

It is an arithmetic number, because the mean of its divisors is an integer number (42444).

2²¹³⁷⁵⁸ is an apocalyptic number.

213758 is a deficient number, since it is larger than the sum of its proper divisors (125794).

213758 is a wasteful number, since it uses less digits than its factorization.

213758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306.

The product of its digits is 1680, while the sum is 26.

The square root of 213758 is about 462.3397019508. The cubic root of 213758 is about 59.7916849921.

The spelling of 213758 in words is "two hundred thirteen thousand, seven hundred fifty-eight".