213604065 has 24 divisors (see below), whose sum is σ = 392027688. Its totient is φ = 107220480.

The previous prime is 213604051. The next prime is 213604067. The reversal of 213604065 is 560406312.

It can be written as a sum of positive squares in 4 ways, for example, as 10712529 + 202891536 = 3273^2 + 14244^2 .

It is not a de Polignac number, because 213604065 - 2¹⁰ = 213603041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213604067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138846 + ... + 140375.

It is an arithmetic number, because the mean of its divisors is an integer number (16334487).

Almost surely, 2^213604065 is an apocalyptic number.

It is an amenable number.

213604065 is a deficient number, since it is larger than the sum of its proper divisors (178423623).

213604065 is a wasteful number, since it uses less digits than its factorization.

213604065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279249 (or 279246 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 213604065 is about 14615.1997933658. The cubic root of 213604065 is about 597.7732881466.

It can be divided in two parts, 21360 and 4065, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 213604065 in words is "two hundred thirteen million, six hundred four thousand, sixty-five".