213997 has 8 divisors (see below), whose sum is σ = 257600. Its totient is φ = 173664.

The previous prime is 213989. The next prime is 214003. The reversal of 213997 is 799312.

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

It is a cyclic number.

It is not a de Polignac number, because 213997 - 2³ = 213989 is a prime.

It is a super-3 number, since 3×213997³ = 29399795525333919, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213947) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 672 + ... + 937.

It is an arithmetic number, because the mean of its divisors is an integer number (32200).

2²¹³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

213997 is a deficient number, since it is larger than the sum of its proper divisors (43603).

213997 is a wasteful number, since it uses less digits than its factorization.

213997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635.

The product of its digits is 3402, while the sum is 31.

The square root of 213997 is about 462.5980977047. The cubic root of 213997 is about 59.8139607901.

The spelling of 213997 in words is "two hundred thirteen thousand, nine hundred ninety-seven".