5167829821 has 16 divisors (see below), whose sum is σ = 6445744128. Its totient is φ = 4025170800.

The previous prime is 5167829761. The next prime is 5167829833. The reversal of 5167829821 is 1289287615.

It is a happy number.

It is not a de Polignac number, because 5167829821 - 2¹⁵ = 5167797053 is a prime.

It is a super-3 number, since 3×5167829821³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5167829021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186556 + ... + 212458.

It is an arithmetic number, because the mean of its divisors is an integer number (402859008).

Almost surely, 2^5167829821 is an apocalyptic number.

It is an amenable number.

5167829821 is a deficient number, since it is larger than the sum of its proper divisors (1277914307).

5167829821 is a wasteful number, since it uses less digits than its factorization.

5167829821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28512.

The product of its digits is 483840, while the sum is 49.

The square root of 5167829821 is about 71887.6193860946. The cubic root of 5167829821 is about 1728.8981167559.

The spelling of 5167829821 in words is "five billion, one hundred sixty-seven million, eight hundred twenty-nine thousand, eight hundred twenty-one".