829150749 has 64 divisors (see below), whose sum is σ = 1456949760. Its totient is φ = 461894400.

The previous prime is 829150703. The next prime is 829150781. The reversal of 829150749 is 947051928.

It is not a de Polignac number, because 829150749 - 2⁸ = 829150493 is a prime.

It is a super-2 number, since 2×829150749² = 1374981929134522002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829150799) 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 63 ways as a sum of consecutive naturals, for example, 627009 + ... + 628329.

It is an arithmetic number, because the mean of its divisors is an integer number (22764840).

Almost surely, 2^829150749 is an apocalyptic number.

It is an amenable number.

829150749 is a deficient number, since it is larger than the sum of its proper divisors (627799011).

829150749 is an equidigital number, since it uses as much as digits as its factorization.

829150749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 829150749 is about 28794.9778433671. The cubic root of 829150749 is about 939.4590024919.

The spelling of 829150749 in words is "eight hundred twenty-nine million, one hundred fifty thousand, seven hundred forty-nine".