1133729829 has 24 divisors (see below), whose sum is σ = 1727612640. Its totient is φ = 714456288.

The previous prime is 1133729789. The next prime is 1133729833. The reversal of 1133729829 is 9289273311.

1133729829 is a `hidden beast` number, since 1 + 1 + 337 + 298 + 29 = 666.

It is not a de Polignac number, because 1133729829 - 2¹³ = 1133721637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133725829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72759 + ... + 86955.

It is an arithmetic number, because the mean of its divisors is an integer number (71983860).

Almost surely, 2^1133729829 is an apocalyptic number.

1133729829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1133729829 is a deficient number, since it is larger than the sum of its proper divisors (593882811).

1133729829 is a wasteful number, since it uses less digits than its factorization.

1133729829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14689 (or 14686 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1133729829 is about 33670.9047843981. The cubic root of 1133729829 is about 1042.7251719328.

It can be divided in two parts, 113372 and 9829, that added together give a square (123201 = 351²).

The spelling of 1133729829 in words is "one billion, one hundred thirty-three million, seven hundred twenty-nine thousand, eight hundred twenty-nine".