29132973 has 32 divisors (see below), whose sum is σ = 46126080. Its totient is φ = 18128880.

The previous prime is 29132941. The next prime is 29132977. The reversal of 29132973 is 37923192.

It is not a de Polignac number, because 29132973 - 2⁵ = 29132941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29132977) 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 31 ways as a sum of consecutive naturals, for example, 26158 + ... + 27248.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^29132973 is an apocalyptic number.

29132973 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

29132973 is a deficient number, since it is larger than the sum of its proper divisors (16993107).

29132973 is a wasteful number, since it uses less digits than its factorization.

29132973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1160 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 29132973 is about 5397.4969198694. The cubic root of 29132973 is about 307.7005473451.

It can be divided in two parts, 2913 and 2973, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 29132973 in words is "twenty-nine million, one hundred thirty-two thousand, nine hundred seventy-three".