621086657 has 2 divisors, whose sum is σ = 621086658. Its totient is φ = 621086656.

The previous prime is 621086651. The next prime is 621086659. The reversal of 621086657 is 756680126.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 469328896 + 151757761 = 21664^2 + 12319^2 .

It is a cyclic number.

It is not a de Polignac number, because 621086657 - 2¹⁴ = 621070273 is a prime.

Together with 621086659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (621086651) 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, 310543328 + 310543329.

It is an arithmetic number, because the mean of its divisors is an integer number (310543329).

Almost surely, 2^621086657 is an apocalyptic number.

It is an amenable number.

621086657 is a deficient number, since it is larger than the sum of its proper divisors (1).

621086657 is an equidigital number, since it uses as much as digits as its factorization.

621086657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 621086657 is about 24921.6102409134. The cubic root of 621086657 is about 853.1997766477.

The spelling of 621086657 in words is "six hundred twenty-one million, eighty-six thousand, six hundred fifty-seven".