7827493 has 2 divisors, whose sum is σ = 7827494. Its totient is φ = 7827492.

The previous prime is 7827437. The next prime is 7827509. The reversal of 7827493 is 3947287.

7827493 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7306209 + 521284 = 2703^2 + 722^2 .

It is a cyclic number.

It is not a de Polignac number, because 7827493 - 2²¹ = 5730341 is a prime.

It is a super-2 number, since 2×7827493² = 122539293330098, which contains 22 as substring.

It is equal to p₅₂₈₈₈₉ and since 7827493 and 528889 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7827403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3913746 + 3913747.

It is an arithmetic number, because the mean of its divisors is an integer number (3913747).

Almost surely, 2^7827493 is an apocalyptic number.

It is an amenable number.

7827493 is a deficient number, since it is larger than the sum of its proper divisors (1).

7827493 is an equidigital number, since it uses as much as digits as its factorization.

7827493 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84672, while the sum is 40.

The square root of 7827493 is about 2797.7657157096. The cubic root of 7827493 is about 198.5519832046.

The spelling of 7827493 in words is "seven million, eight hundred twenty-seven thousand, four hundred ninety-three".