7828033 has 2 divisors, whose sum is σ = 7828034. Its totient is φ = 7828032.

The previous prime is 7827983. The next prime is 7828039. The reversal of 7828033 is 3308287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7745089 + 82944 = 2783^2 + 288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7828033 is a prime.

It is a super-2 number, since 2×7828033² = 122556201298178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7827986 and 7828004.

It is not a weakly prime, because it can be changed into another prime (7828039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3914016 + 3914017.

It is an arithmetic number, because the mean of its divisors is an integer number (3914017).

Almost surely, 2^7828033 is an apocalyptic number.

It is an amenable number.

7828033 is a deficient number, since it is larger than the sum of its proper divisors (1).

7828033 is an equidigital number, since it uses as much as digits as its factorization.

7828033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 7828033 is about 2797.8622196241. The cubic root of 7828033 is about 198.5565489749.

The spelling of 7828033 in words is "seven million, eight hundred twenty-eight thousand, thirty-three".