213405192 has 480 divisors, whose sum is σ = 834261120. Its totient is φ = 50077440.

The previous prime is 213405191. The next prime is 213405211. The reversal of 213405192 is 291504312.

It is a super-3 number, since 3×213405192³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213405191) 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 119 ways as a sum of consecutive naturals, for example, 4540513 + ... + 4540559.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2^213405192 is an apocalyptic number.

213405192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213405192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417130560).

213405192 is an abundant number, since it is smaller than the sum of its proper divisors (620855928).

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

213405192 is a wasteful number, since it uses less digits than its factorization.

213405192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 213405192 is about 14608.3945729844. The cubic root of 213405192 is about 597.5877144617.

The spelling of 213405192 in words is "two hundred thirteen million, four hundred five thousand, one hundred ninety-two".