84269313 has 36 divisors (see below), whose sum is σ = 132126228. Its totient is φ = 51710400.

The previous prime is 84269299. The next prime is 84269321. The reversal of 84269313 is 31396248.

84269313 is a `hidden beast` number, since 84 + 269 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74080449 + 10188864 = 8607^2 + 3192^2 .

It is not a de Polignac number, because 84269313 - 2⁵ = 84269281 is a prime.

It is a super-3 number, since 3×84269313³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84268313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119863 + ... + 120563.

It is an arithmetic number, because the mean of its divisors is an integer number (3670173).

Almost surely, 2^84269313 is an apocalyptic number.

It is an amenable number.

84269313 is a deficient number, since it is larger than the sum of its proper divisors (47856915).

84269313 is a wasteful number, since it uses less digits than its factorization.

84269313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 84269313 is about 9179.8318612053. The cubic root of 84269313 is about 438.4194549353.

The spelling of 84269313 in words is "eighty-four million, two hundred sixty-nine thousand, three hundred thirteen".