213688 has 8 divisors (see below), whose sum is σ = 400680. Its totient is φ = 106840.

The previous prime is 213659. The next prime is 213713. The reversal of 213688 is 886312.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×213688² = 91325122688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13348 + ... + 13363.

It is an arithmetic number, because the mean of its divisors is an integer number (50085).

2²¹³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

213688 is a deficient number, since it is larger than the sum of its proper divisors (186992).

213688 is a wasteful number, since it uses less digits than its factorization.

213688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26717 (or 26713 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 213688 is about 462.2639938390. The cubic root of 213688 is about 59.7851575562.

The spelling of 213688 in words is "two hundred thirteen thousand, six hundred eighty-eight".