829416149 has 8 divisors (see below), whose sum is σ = 838566552. Its totient is φ = 820316160.

The previous prime is 829416143. The next prime is 829416157. The reversal of 829416149 is 941614928.

It can be written as a sum of positive squares in 4 ways, for example, as 45024100 + 784392049 = 6710^2 + 28007^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 829416149 - 2¹² = 829412053 is a prime.

It is a super-2 number, since 2×829416149² = 1375862296443980402, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829416143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20969 + ... + 45809.

It is an arithmetic number, because the mean of its divisors is an integer number (104820819).

Almost surely, 2^829416149 is an apocalyptic number.

It is an amenable number.

829416149 is a deficient number, since it is larger than the sum of its proper divisors (9150403).

829416149 is a wasteful number, since it uses less digits than its factorization.

829416149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25207.

The product of its digits is 124416, while the sum is 44.

The square root of 829416149 is about 28799.5859171621. The cubic root of 829416149 is about 939.5592278617.

The spelling of 829416149 in words is "eight hundred twenty-nine million, four hundred sixteen thousand, one hundred forty-nine".