213980 has 24 divisors (see below), whose sum is σ = 484512. Its totient is φ = 78912.

The previous prime is 213977. The next prime is 213989. The reversal of 213980 is 89312.

It is a nialpdrome in base 13.

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 213980.

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 7 ways as a sum of consecutive naturals, for example, 152 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (20188).

2²¹³⁹⁸⁰ is an apocalyptic number.

213980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213980 is an abundant number, since it is smaller than the sum of its proper divisors (270532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213980 is a wasteful number, since it uses less digits than its factorization.

213980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 213980 is about 462.5797228587. The cubic root of 213980 is about 59.8123768672.

Adding to 213980 its product of nonzero digits (432), we get a palindrome (214412).

The spelling of 213980 in words is "two hundred thirteen thousand, nine hundred eighty".