13605972 has 24 divisors (see below), whose sum is σ = 33128256. Its totient is φ = 4338048.

The previous prime is 13605961. The next prime is 13606003. The reversal of 13605972 is 27950631.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24373 + ... + 24924.

It is an arithmetic number, because the mean of its divisors is an integer number (1380344).

Almost surely, 2^13605972 is an apocalyptic number.

13605972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13605972 is an abundant number, since it is smaller than the sum of its proper divisors (19522284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13605972 is a wasteful number, since it uses less digits than its factorization.

13605972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49327 (or 49325 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 13605972 is about 3688.6273869829. The cubic root of 13605972 is about 238.7315719081.

The spelling of 13605972 in words is "thirteen million, six hundred five thousand, nine hundred seventy-two".