213000420 has 24 divisors (see below), whose sum is σ = 596401344. Its totient is φ = 56800096.

The previous prime is 213000419. The next prime is 213000421. The reversal of 213000420 is 24000312.

It is an interprime number because it is at equal distance from previous prime (213000419) and next prime (213000421).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 213000396 and 213000405.

It is not an unprimeable number, because it can be changed into a prime (213000421) 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, 1774944 + ... + 1775063.

It is an arithmetic number, because the mean of its divisors is an integer number (24850056).

Almost surely, 2^213000420 is an apocalyptic number.

213000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000420 is an abundant number, since it is smaller than the sum of its proper divisors (383400924).

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

213000420 is a wasteful number, since it uses less digits than its factorization.

213000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550019 (or 3550017 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 213000420 is about 14594.5339082822. The cubic root of 213000420 is about 597.2096545143.

Adding to 213000420 its reverse (24000312), we get a palindrome (237000732).

The spelling of 213000420 in words is "two hundred thirteen million, four hundred twenty", and thus it is an aban number.