84121157 has 2 divisors, whose sum is σ = 84121158. Its totient is φ = 84121156.

The previous prime is 84121139. The next prime is 84121159. The reversal of 84121157 is 75112148.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44102881 + 40018276 = 6641^2 + 6326^2 .

It is a cyclic number.

It is not a de Polignac number, because 84121157 - 2¹⁰ = 84120133 is a prime.

Together with 84121159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84121159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42060578 + 42060579.

It is an arithmetic number, because the mean of its divisors is an integer number (42060579).

Almost surely, 2^84121157 is an apocalyptic number.

It is an amenable number.

84121157 is a deficient number, since it is larger than the sum of its proper divisors (1).

84121157 is an equidigital number, since it uses as much as digits as its factorization.

84121157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2240, while the sum is 29.

The square root of 84121157 is about 9171.7586645092. The cubic root of 84121157 is about 438.1623721227.

Subtracting from 84121157 its reverse (75112148), we obtain a palindrome (9009009).

The spelling of 84121157 in words is "eighty-four million, one hundred twenty-one thousand, one hundred fifty-seven".