7457985 has 24 divisors (see below), whose sum is σ = 13689000. Its totient is φ = 3743232.

The previous prime is 7457953. The next prime is 7457987. The reversal of 7457985 is 5897547.

7457985 is a `hidden beast` number, since 74 + 579 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 6922161 = 732^2 + 2631^2 .

It is not a de Polignac number, because 7457985 - 2⁵ = 7457953 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

7457985 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7457985.

It is not an unprimeable number, because it can be changed into a prime (7457987) 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 23 ways as a sum of consecutive naturals, for example, 4110 + ... + 5639.

It is an arithmetic number, because the mean of its divisors is an integer number (570375).

Almost surely, 2^7457985 is an apocalyptic number.

It is an amenable number.

7457985 is a deficient number, since it is larger than the sum of its proper divisors (6231015).

7457985 is a wasteful number, since it uses less digits than its factorization.

7457985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9777 (or 9774 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 7457985 is about 2730.9311598794. The cubic root of 7457985 is about 195.3771792399.

The spelling of 7457985 in words is "seven million, four hundred fifty-seven thousand, nine hundred eighty-five".