18007461 has 16 divisors (see below), whose sum is σ = 26744320. Its totient is φ = 11975040.

The previous prime is 18007453. The next prime is 18007469. The reversal of 18007461 is 16470081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18007453) and next prime (18007469).

It is not a de Polignac number, because 18007461 - 2³ = 18007453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18007469) 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, 17676 + ... + 18666.

It is an arithmetic number, because the mean of its divisors is an integer number (1671520).

Almost surely, 2^18007461 is an apocalyptic number.

It is an amenable number.

18007461 is a deficient number, since it is larger than the sum of its proper divisors (8736859).

18007461 is an equidigital number, since it uses as much as digits as its factorization.

18007461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 18007461 is about 4243.5198833044. The cubic root of 18007461 is about 262.1103443293.

It can be divided in two parts, 1800 and 7461, that added together give a cube (9261 = 21³).

The spelling of 18007461 in words is "eighteen million, seven thousand, four hundred sixty-one".