7828961 has 8 divisors (see below), whose sum is σ = 8964480. Its totient is φ = 6697728.

The previous prime is 7828943. The next prime is 7828963. The reversal of 7828961 is 1698287.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7828961 - 2¹⁴ = 7812577 is a prime.

It is a super-2 number, since 2×7828961² = 122585260679042, which contains 22 as substring.

It is a Curzon 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 7 ways as a sum of consecutive naturals, for example, 5825 + ... + 7041.

It is an arithmetic number, because the mean of its divisors is an integer number (1120560).

Almost surely, 2^7828961 is an apocalyptic number.

It is an amenable number.

7828961 is a deficient number, since it is larger than the sum of its proper divisors (1135519).

7828961 is a wasteful number, since it uses less digits than its factorization.

7828961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143.

The product of its digits is 48384, while the sum is 41.

The square root of 7828961 is about 2798.0280556135. The cubic root of 7828961 is about 198.5643948453.

The spelling of 7828961 in words is "seven million, eight hundred twenty-eight thousand, nine hundred sixty-one".