628993 has 2 divisors, whose sum is σ = 628994. Its totient is φ = 628992.

The previous prime is 628973. The next prime is 628997. The reversal of 628993 is 399826.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 628849 + 144 = 793^2 + 12^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-628993 is a prime.

628993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (628997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 314496 + 314497.

It is an arithmetic number, because the mean of its divisors is an integer number (314497).

2⁶²⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

628993 is a deficient number, since it is larger than the sum of its proper divisors (1).

628993 is an equidigital number, since it uses as much as digits as its factorization.

628993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 37.

The square root of 628993 is about 793.0907892543. The cubic root of 628993 is about 85.6804891893.

The spelling of 628993 in words is "six hundred twenty-eight thousand, nine hundred ninety-three".