763997 has 8 divisors (see below), whose sum is σ = 871416. Its totient is φ = 663552.

The previous prime is 763967. The next prime is 763999. The reversal of 763997 is 799367.

It can be written as a sum of positive squares in 4 ways, for example, as 121 + 763876 = 11^2 + 874^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 763997 - 2¹⁰ = 762973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763999) 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 7 ways as a sum of consecutive naturals, for example, 1508 + ... + 1949.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

2⁷⁶³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

763997 is a deficient number, since it is larger than the sum of its proper divisors (107419).

763997 is a wasteful number, since it uses less digits than its factorization.

763997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487.

The product of its digits is 71442, while the sum is 41.

The square root of 763997 is about 874.0692192269. The cubic root of 763997 is about 91.4177548355.

The spelling of 763997 in words is "seven hundred sixty-three thousand, nine hundred ninety-seven".