13029471 has 32 divisors (see below), whose sum is σ = 23761920. Its totient is φ = 6871392.

The previous prime is 13029451. The next prime is 13029479. The reversal of 13029471 is 17492031.

It is not a de Polignac number, because 13029471 - 2⁶ = 13029407 is a prime.

It is a super-3 number, since 3×13029471³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13029479) 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, 195 + ... + 5108.

It is an arithmetic number, because the mean of its divisors is an integer number (742560).

Almost surely, 2^13029471 is an apocalyptic number.

13029471 is a deficient number, since it is larger than the sum of its proper divisors (10732449).

13029471 is a wasteful number, since it uses less digits than its factorization.

13029471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13029471 is about 3609.6358542102. The cubic root of 13029471 is about 235.3110171967.

The spelling of 13029471 in words is "thirteen million, twenty-nine thousand, four hundred seventy-one".