13972185 has 24 divisors (see below), whose sum is σ = 24812424. Its totient is φ = 7269120.

The previous prime is 13972169. The next prime is 13972187. The reversal of 13972185 is 58127931.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 11758041 = 1488^2 + 3429^2 .

It is not a de Polignac number, because 13972185 - 2⁴ = 13972169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13972187) 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, 1942 + ... + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (1033851).

Almost surely, 2^13972185 is an apocalyptic number.

13972185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13972185 is a deficient number, since it is larger than the sum of its proper divisors (10840239).

13972185 is a wasteful number, since it uses less digits than its factorization.

13972185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625 (or 7622 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13972185 is about 3737.9386030271. The cubic root of 13972185 is about 240.8545060534.

The spelling of 13972185 in words is "thirteen million, nine hundred seventy-two thousand, one hundred eighty-five".