8214437133 has 24 divisors (see below), whose sum is σ = 13997774336. Its totient is φ = 4542544800.

The previous prime is 8214437117. The next prime is 8214437171. The reversal of 8214437133 is 3317344128.

8214437133 is a `hidden beast` number, since 8 + 214 + 437 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 8214437133 - 2⁴ = 8214437117 is a prime.

It is a super-3 number, since 3×8214437133³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214435133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101078 + ... + 2104983.

Almost surely, 2^8214437133 is an apocalyptic number.

It is an amenable number.

8214437133 is a deficient number, since it is larger than the sum of its proper divisors (5783337203).

8214437133 is a wasteful number, since it uses less digits than its factorization.

8214437133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206105 (or 4206102 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 8214437133 is about 90633.5320562980. The cubic root of 8214437133 is about 2017.7124328671.

The spelling of 8214437133 in words is "eight billion, two hundred fourteen million, four hundred thirty-seven thousand, one hundred thirty-three".