213116657 has 8 divisors (see below), whose sum is σ = 233841384. Its totient is φ = 193010688.

The previous prime is 213116639. The next prime is 213116699. The reversal of 213116657 is 756611312.

It can be written as a sum of positive squares in 4 ways, for example, as 73441 + 213043216 = 271^2 + 14596^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 213116657 - 2¹⁴ = 213100273 is a prime.

It is a super-3 number, since 3×213116657³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213116257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153968 + ... + 155345.

It is an arithmetic number, because the mean of its divisors is an integer number (29230173).

Almost surely, 2^213116657 is an apocalyptic number.

It is an amenable number.

213116657 is a deficient number, since it is larger than the sum of its proper divisors (20724727).

213116657 is a wasteful number, since it uses less digits than its factorization.

213116657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309379.

The product of its digits is 7560, while the sum is 32.

The square root of 213116657 is about 14598.5155752220. The cubic root of 213116657 is about 597.3182696914.

Adding to 213116657 its reverse (756611312), we get a palindrome (969727969).

The spelling of 213116657 in words is "two hundred thirteen million, one hundred sixteen thousand, six hundred fifty-seven".