18557461 has 16 divisors (see below), whose sum is σ = 21048048. Its totient is φ = 16243200.

The previous prime is 18557453. The next prime is 18557491. The reversal of 18557461 is 16475581.

It can be written as a sum of positive squares in 8 ways, for example, as 656100 + 17901361 = 810^2 + 4231^2 .

It is a cyclic number.

It is not a de Polignac number, because 18557461 - 2³ = 18557453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18557461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18557401) 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 15 ways as a sum of consecutive naturals, for example, 19251 + ... + 20191.

It is an arithmetic number, because the mean of its divisors is an integer number (1315503).

Almost surely, 2^18557461 is an apocalyptic number.

It is an amenable number.

18557461 is a deficient number, since it is larger than the sum of its proper divisors (2490587).

18557461 is a wasteful number, since it uses less digits than its factorization.

18557461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032.

The product of its digits is 33600, while the sum is 37.

The square root of 18557461 is about 4307.8371603393. The cubic root of 18557461 is about 264.7521641593.

It can be divided in two parts, 1855 and 7461, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 18557461 in words is "eighteen million, five hundred fifty-seven thousand, four hundred sixty-one".