36882729 has 48 divisors (see below), whose sum is σ = 60609600. Its totient is φ = 22149504.

The previous prime is 36882721. The next prime is 36882749. The reversal of 36882729 is 92728863.

It is not a de Polignac number, because 36882729 - 2³ = 36882721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36882721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269149 + ... + 269285.

It is an arithmetic number, because the mean of its divisors is an integer number (1262700).

Almost surely, 2^36882729 is an apocalyptic number.

36882729 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

36882729 is a deficient number, since it is larger than the sum of its proper divisors (23726871).

36882729 is a wasteful number, since it uses less digits than its factorization.

36882729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 36882729 is about 6073.1152631907. The cubic root of 36882729 is about 332.8697648338.

The spelling of 36882729 in words is "thirty-six million, eight hundred eighty-two thousand, seven hundred twenty-nine".