1516401 has 20 divisors (see below), whose sum is σ = 2300452. Its totient is φ = 995328.

The previous prime is 1516397. The next prime is 1516421. The reversal of 1516401 is 1046151.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 998001 = 720^2 + 999^2 .

It is not a de Polignac number, because 1516401 - 2² = 1516397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1516421) 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 19 ways as a sum of consecutive naturals, for example, 7761 + ... + 7953.

2^1516401 is an apocalyptic number.

It is an amenable number.

1516401 is a deficient number, since it is larger than the sum of its proper divisors (784051).

1516401 is an equidigital number, since it uses as much as digits as its factorization.

1516401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1516401 is about 1231.4223483436. The cubic root of 1516401 is about 114.8871230175.

The spelling of 1516401 in words is "one million, five hundred sixteen thousand, four hundred one".