18973305 has 64 divisors (see below), whose sum is σ = 38304000. Its totient is φ = 8833536.

The previous prime is 18973291. The next prime is 18973307. The reversal of 18973305 is 50337981.

It is not a de Polignac number, because 18973305 - 2⁸ = 18973049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18973305.

It is not an unprimeable number, because it can be changed into a prime (18973307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33061 + ... + 33629.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 2^18973305 is an apocalyptic number.

18973305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18973305 is an abundant number, since it is smaller than the sum of its proper divisors (19330695).

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

18973305 is a wasteful number, since it uses less digits than its factorization.

18973305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 18973305 is about 4355.8357407046. The cubic root of 18973305 is about 266.7151361549.

The spelling of 18973305 in words is "eighteen million, nine hundred seventy-three thousand, three hundred five".