18761985 has 48 divisors (see below), whose sum is σ = 36728640. Its totient is φ = 8776320.

The previous prime is 18761983. The next prime is 18761993. The reversal of 18761985 is 58916781.

It is not a de Polignac number, because 18761985 - 2¹ = 18761983 is a prime.

It is a super-3 number, since 3×18761985³ (a number of 23 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 (45).

It is a self number, because there is not a number n which added to its sum of digits gives 18761985.

It is not an unprimeable number, because it can be changed into a prime (18761983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13702 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (765180).

Almost surely, 2^18761985 is an apocalyptic number.

18761985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18761985 is a deficient number, since it is larger than the sum of its proper divisors (17966655).

18761985 is a wasteful number, since it uses less digits than its factorization.

18761985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1355 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 18761985 is about 4331.5107064395. The cubic root of 18761985 is about 265.7212345192.

The spelling of 18761985 in words is "eighteen million, seven hundred sixty-one thousand, nine hundred eighty-five".