7828965 has 12 divisors (see below), whose sum is σ = 13570284. Its totient is φ = 4175424.

The previous prime is 7828963. The next prime is 7828987. The reversal of 7828965 is 5698287.

It can be written as a sum of positive squares in 2 ways, for example, as 3932289 + 3896676 = 1983^2 + 1974^2 .

It is not a de Polignac number, because 7828965 - 2¹ = 7828963 is a prime.

It is a super-2 number, since 2×7828965² = 122585385942450, which contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 173977 = 7828965 / (7 + 8 + 2 + 8 + 9 + 6 + 5).

It is a d-powerful number, because it can be written as 7⁷ + 8 + 2²¹ + 8³ + 9⁷ + 6⁶ + 5⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 7828965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828963) 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, 86944 + ... + 87033.

It is an arithmetic number, because the mean of its divisors is an integer number (1130857).

Almost surely, 2^7828965 is an apocalyptic number.

It is an amenable number.

7828965 is a deficient number, since it is larger than the sum of its proper divisors (5741319).

7828965 is a wasteful number, since it uses less digits than its factorization.

7828965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173988 (or 173985 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7828965 is about 2798.0287704025. The cubic root of 7828965 is about 198.5644286623.

The spelling of 7828965 in words is "seven million, eight hundred twenty-eight thousand, nine hundred sixty-five".