2638331 has 2 divisors, whose sum is σ = 2638332. Its totient is φ = 2638330.

The previous prime is 2638327. The next prime is 2638357. The reversal of 2638331 is 1338362.

2638331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2638357) can be obtained adding 2638331 to its sum of digits (26).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2638331 - 2² = 2638327 is a prime.

It is a super-2 number, since 2×2638331² = 13921580931122, which contains 22 as substring.

It is a Chen prime.

It is equal to p₁₉₂₄₅₅ and since 2638331 and 192455 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2638331.

It is not a weakly prime, because it can be changed into another prime (2638301) 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 as a sum of consecutive naturals, namely, 1319165 + 1319166.

It is an arithmetic number, because the mean of its divisors is an integer number (1319166).

2^2638331 is an apocalyptic number.

2638331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2638331 is an equidigital number, since it uses as much as digits as its factorization.

2638331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 26.

The square root of 2638331 is about 1624.2940004814. The cubic root of 2638331 is about 138.1793334697.

The spelling of 2638331 in words is "two million, six hundred thirty-eight thousand, three hundred thirty-one".