7987401 has 12 divisors (see below), whose sum is σ = 11727300. Its totient is φ = 5237280.

The previous prime is 7987393. The next prime is 7987403. The reversal of 7987401 is 1047897.

7987401 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3059001 + 4928400 = 1749^2 + 2220^2 .

It is not a de Polignac number, because 7987401 - 2³ = 7987393 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

7987401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7987403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6726 + ... + 7823.

It is an arithmetic number, because the mean of its divisors is an integer number (977275).

Almost surely, 2^7987401 is an apocalyptic number.

It is an amenable number.

7987401 is a deficient number, since it is larger than the sum of its proper divisors (3739899).

7987401 is a wasteful number, since it uses less digits than its factorization.

7987401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14616 (or 14613 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 7987401 is about 2826.1990375768. The cubic root of 7987401 is about 199.8949531688.

The spelling of 7987401 in words is "seven million, nine hundred eighty-seven thousand, four hundred one".