829414419 has 16 divisors (see below), whose sum is σ = 1116406272. Its totient is φ = 547707168.

The previous prime is 829414409. The next prime is 829414423. The reversal of 829414419 is 914414928.

It is a happy number.

It is not a de Polignac number, because 829414419 - 2⁵ = 829414387 is a prime.

It is a super-3 number, since 3×829414419³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (829414409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144054 + ... + 149700.

It is an arithmetic number, because the mean of its divisors is an integer number (69775392).

Almost surely, 2^829414419 is an apocalyptic number.

829414419 is a deficient number, since it is larger than the sum of its proper divisors (286991853).

829414419 is a wasteful number, since it uses less digits than its factorization.

829414419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106.

The product of its digits is 82944, while the sum is 42.

The square root of 829414419 is about 28799.5558819923. Note that the first 3 decimals coincide. The cubic root of 829414419 is about 939.5585746156.

The spelling of 829414419 in words is "eight hundred twenty-nine million, four hundred fourteen thousand, four hundred nineteen".