13993785 has 48 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 6521472.

The previous prime is 13993783. The next prime is 13993787. The reversal of 13993785 is 58739931.

13993785 = 9³ + 10³ + ... + 86³.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13993783) and next prime (13993787).

It is not a de Polignac number, because 13993785 - 2¹ = 13993783 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13993785.

It is not an unprimeable number, because it can be changed into a prime (13993783) 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 47 ways as a sum of consecutive naturals, for example, 10486 + ... + 11744.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^13993785 is an apocalyptic number.

13993785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13993785 is a deficient number, since it is larger than the sum of its proper divisors (13524615).

13993785 is a wasteful number, since it uses less digits than its factorization.

13993785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1299 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 13993785 is about 3740.8267802720. The cubic root of 13993785 is about 240.9785567717.

It can be divided in two parts, 1399 and 3785, that added together give a square (5184 = 72²).

The spelling of 13993785 in words is "thirteen million, nine hundred ninety-three thousand, seven hundred eighty-five".