213000414 has 48 divisors (see below), whose sum is σ = 479208576. Its totient is φ = 63035280.

The previous prime is 213000409. The next prime is 213000419. The reversal of 213000414 is 414000312.

It is an interprime number because it is at equal distance from previous prime (213000409) and next prime (213000419).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213000393 and 213000402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213000419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27807 + ... + 34629.

It is an arithmetic number, because the mean of its divisors is an integer number (9983512).

Almost surely, 2^213000414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213000414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239604288).

213000414 is an abundant number, since it is smaller than the sum of its proper divisors (266208162).

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

213000414 is a wasteful number, since it uses less digits than its factorization.

213000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 213000414 is about 14594.5337027258. The cubic root of 213000414 is about 597.2096489067.

Adding to 213000414 its reverse (414000312), we get a palindrome (627000726).

The spelling of 213000414 in words is "two hundred thirteen million, four hundred fourteen", and thus it is an aban number.