18364761 has 24 divisors (see below), whose sum is σ = 27433224. Its totient is φ = 11831040.

The previous prime is 18364711. The next prime is 18364769. The reversal of 18364761 is 16746381.

18364761 is a `hidden beast` number, since 1 + 8 + 3 + 647 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1299600 + 17065161 = 1140^2 + 4131^2 .

It is not a de Polignac number, because 18364761 - 2¹⁵ = 18331993 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18364769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57775 + ... + 58091.

It is an arithmetic number, because the mean of its divisors is an integer number (1143051).

Almost surely, 2^18364761 is an apocalyptic number.

It is an amenable number.

18364761 is a deficient number, since it is larger than the sum of its proper divisors (9068463).

18364761 is a wasteful number, since it uses less digits than its factorization.

18364761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 518 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 18364761 is about 4285.4125822376. The cubic root of 18364761 is about 263.8325815244.

The spelling of 18364761 in words is "eighteen million, three hundred sixty-four thousand, seven hundred sixty-one".