213700 has 18 divisors (see below), whose sum is σ = 463946. Its totient is φ = 85440.

The previous prime is 213659. The next prime is 213713. The reversal of 213700 is 7312.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 213444 = 16^2 + 462^2 .

It is an unprimeable number.

213700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 969 + ... + 1168.

2²¹³⁷⁰⁰ is an apocalyptic number.

213700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213700 is an abundant number, since it is smaller than the sum of its proper divisors (250246).

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

213700 is a wasteful number, since it uses less digits than its factorization.

213700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 213700 is about 462.2769732530. The cubic root of 213700 is about 59.7862766464.

It can be divided in two parts, 21 and 3700, that added together give a square (3721 = 61²).

The spelling of 213700 in words is "two hundred thirteen thousand, seven hundred".