3628657 has 2 divisors, whose sum is σ = 3628658. Its totient is φ = 3628656.

The previous prime is 3628631. The next prime is 3628663. The reversal of 3628657 is 7568263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 516961 = 1764^2 + 719^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3628657 is a prime.

It is a super-3 number, since 3×3628657³ (a number of 21 digits) contains 333 as substring.

It is equal to p₂₅₈₆₇₉ and since 3628657 and 258679 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (3628697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1814328 + 1814329.

It is an arithmetic number, because the mean of its divisors is an integer number (1814329).

Almost surely, 2^3628657 is an apocalyptic number.

It is an amenable number.

3628657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3628657 is an equidigital number, since it uses as much as digits as its factorization.

3628657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60480, while the sum is 37.

The square root of 3628657 is about 1904.9034096248. The cubic root of 3628657 is about 153.6674812224.

The spelling of 3628657 in words is "three million, six hundred twenty-eight thousand, six hundred fifty-seven".