213585408 has 60 divisors (see below), whose sum is σ = 616435248. Its totient is φ = 71193600.

The previous prime is 213585397. The next prime is 213585409. The reversal of 213585408 is 804585312.

It is a happy number.

It is a super-3 number, since 3×213585408³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213585409) 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 5 ways as a sum of consecutive naturals, for example, 18568 + ... + 27783.

Almost surely, 2^213585408 is an apocalyptic number.

It is an amenable number.

213585408 is an abundant number, since it is smaller than the sum of its proper divisors (402849840).

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

213585408 is an equidigital number, since it uses as much as digits as its factorization.

213585408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46375 (or 46356 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 213585408 is about 14614.5615055670. The cubic root of 213585408 is about 597.7558837011.

The spelling of 213585408 in words is "two hundred thirteen million, five hundred eighty-five thousand, four hundred eight".