84038553 has 20 divisors (see below), whose sum is σ = 126003108. Its totient is φ = 55818720.

The previous prime is 84038519. The next prime is 84038587. The reversal of 84038553 is 35583048.

It is an interprime number because it is at equal distance from previous prime (84038519) and next prime (84038587).

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 23011209 = 7812^2 + 4797^2 .

It is not a de Polignac number, because 84038553 - 2¹⁰ = 84037529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84038503) 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 in 19 ways as a sum of consecutive naturals, for example, 21963 + ... + 25503.

Almost surely, 2^84038553 is an apocalyptic number.

It is an amenable number.

84038553 is a deficient number, since it is larger than the sum of its proper divisors (41964555).

84038553 is a wasteful number, since it uses less digits than its factorization.

84038553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 84038553 is about 9167.2543872198. The cubic root of 84038553 is about 438.0189051701.

It can be divided in two parts, 840 and 38553, that added together give a palindrome (39393).

The spelling of 84038553 in words is "eighty-four million, thirty-eight thousand, five hundred fifty-three".