84513131 has 2 divisors, whose sum is σ = 84513132. Its totient is φ = 84513130.

The previous prime is 84513119. The next prime is 84513133. The reversal of 84513131 is 13131548.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 84513131 - 2⁶ = 84513067 is a prime.

It is a super-3 number, since 3×84513131³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 84513133, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84513131.

It is not a weakly prime, because it can be changed into another prime (84513133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42256565 + 42256566.

It is an arithmetic number, because the mean of its divisors is an integer number (42256566).

Almost surely, 2^84513131 is an apocalyptic number.

84513131 is a deficient number, since it is larger than the sum of its proper divisors (1).

84513131 is an equidigital number, since it uses as much as digits as its factorization.

84513131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1440, while the sum is 26.

The square root of 84513131 is about 9193.1023599218. The cubic root of 84513131 is about 438.8418769017.

Adding to 84513131 its reverse (13131548), we get a palindrome (97644679).

The spelling of 84513131 in words is "eighty-four million, five hundred thirteen thousand, one hundred thirty-one".