631997 has 16 divisors (see below), whose sum is σ = 729600. Its totient is φ = 544320.

The previous prime is 631993. The next prime is 632029. The reversal of 631997 is 799136.

It is a cyclic number.

It is not a de Polignac number, because 631997 - 2² = 631993 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631991) 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 in 15 ways as a sum of consecutive naturals, for example, 17063 + ... + 17099.

It is an arithmetic number, because the mean of its divisors is an integer number (45600).

2⁶³¹⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

631997 is a deficient number, since it is larger than the sum of its proper divisors (97603).

631997 is a wasteful number, since it uses less digits than its factorization.

631997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its digits is 10206, while the sum is 35.

The square root of 631997 is about 794.9823897421. The cubic root of 631997 is about 85.8166727542.

The spelling of 631997 in words is "six hundred thirty-one thousand, nine hundred ninety-seven".