213693 has 16 divisors (see below), whose sum is σ = 314880. Its totient is φ = 128304.

The previous prime is 213659. The next prime is 213713. The reversal of 213693 is 396312.

It is not a de Polignac number, because 213693 - 2⁹ = 213181 is a prime.

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 213693.

It is not an unprimeable number, because it can be changed into a prime (213613) 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, 1230 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (19680).

2²¹³⁶⁹³ is an apocalyptic number.

213693 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

213693 is a deficient number, since it is larger than the sum of its proper divisors (101187).

213693 is a wasteful number, since it uses less digits than its factorization.

213693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its digits is 972, while the sum is 24.

The square root of 213693 is about 462.2694019725. The cubic root of 213693 is about 59.7856238489.

It can be divided in two parts, 2 and 13693, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 213693 in words is "two hundred thirteen thousand, six hundred ninety-three".