213264441 has 32 divisors (see below), whose sum is σ = 355057920. Its totient is φ = 125528832.

The previous prime is 213264419. The next prime is 213264449. The reversal of 213264441 is 144462312.

It is a happy number.

213264441 is a `hidden beast` number, since 2 + 13 + 2 + 644 + 4 + 1 = 666.

It is not a de Polignac number, because 213264441 - 2⁷ = 213264313 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (213264449) 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 31 ways as a sum of consecutive naturals, for example, 5136 + ... + 21281.

It is an arithmetic number, because the mean of its divisors is an integer number (11095560).

Almost surely, 2^213264441 is an apocalyptic number.

It is an amenable number.

213264441 is a deficient number, since it is larger than the sum of its proper divisors (141793479).

213264441 is a wasteful number, since it uses less digits than its factorization.

213264441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26462 (or 26456 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 213264441 is about 14603.5763085622. The cubic root of 213264441 is about 597.4563062766.

The spelling of 213264441 in words is "two hundred thirteen million, two hundred sixty-four thousand, four hundred forty-one".