18013401 has 32 divisors (see below), whose sum is σ = 30720000. Its totient is φ = 10218960.

The previous prime is 18013381. The next prime is 18013409. The reversal of 18013401 is 10431081.

18013401 = 431² + 432² + ... + 511².

It is not a de Polignac number, because 18013401 - 2⁹ = 18012889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18013409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35850 + ... + 36348.

It is an arithmetic number, because the mean of its divisors is an integer number (960000).

Almost surely, 2^18013401 is an apocalyptic number.

It is an amenable number.

18013401 is a deficient number, since it is larger than the sum of its proper divisors (12706599).

18013401 is a wasteful number, since it uses less digits than its factorization.

18013401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 18013401 is about 4244.2197162729. The cubic root of 18013401 is about 262.1391613529.

Adding to 18013401 its reverse (10431081), we get a palindrome (28444482).

The spelling of 18013401 in words is "eighteen million, thirteen thousand, four hundred one".