213988 has 12 divisors (see below), whose sum is σ = 381052. Its totient is φ = 105120.

The previous prime is 213977. The next prime is 213989. The reversal of 213988 is 889312.

213988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 131044 = 288^2 + 362^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (213989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195 + ... + 682.

2²¹³⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

213988 is a deficient number, since it is larger than the sum of its proper divisors (167064).

213988 is a wasteful number, since it uses less digits than its factorization.

213988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 940 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 213988 is about 462.5883699360. The cubic root of 213988 is about 59.8131222531.

The spelling of 213988 in words is "two hundred thirteen thousand, nine hundred eighty-eight".