3628591 has 2 divisors, whose sum is σ = 3628592. Its totient is φ = 3628590.

The previous prime is 3628571. The next prime is 3628621. The reversal of 3628591 is 1958263.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 3628591 - 2¹⁷ = 3497519 is a prime.

3628591 is a lucky number.

It is equal to p₂₅₈₆₇₆ and since 3628591 and 258676 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 (3628561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1814295 + 1814296.

It is an arithmetic number, because the mean of its divisors is an integer number (1814296).

Almost surely, 2^3628591 is an apocalyptic number.

3628591 is a deficient number, since it is larger than the sum of its proper divisors (1).

3628591 is an equidigital number, since it uses as much as digits as its factorization.

3628591 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 34.

The square root of 3628591 is about 1904.8860858330. The cubic root of 3628591 is about 153.6665495540. Note that the first 3 decimals are identical.

The spelling of 3628591 in words is "three million, six hundred twenty-eight thousand, five hundred ninety-one".