627997 has 12 divisors (see below), whose sum is σ = 696276. Its totient is φ = 565760.

The previous prime is 627973. The next prime is 628013. The reversal of 627997 is 799726.

627997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10201 + 617796 = 101^2 + 786^2 .

It is not a de Polignac number, because 627997 - 2¹⁵ = 595229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11823 + ... + 11875.

It is an arithmetic number, because the mean of its divisors is an integer number (58023).

2⁶²⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

627997 is a deficient number, since it is larger than the sum of its proper divisors (68279).

627997 is a wasteful number, since it uses less digits than its factorization.

627997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its digits is 47628, while the sum is 40.

The square root of 627997 is about 792.4626174149. The cubic root of 627997 is about 85.6352407522.

The spelling of 627997 in words is "six hundred twenty-seven thousand, nine hundred ninety-seven".