763249 has 12 divisors (see below), whose sum is σ = 859600. Its totient is φ = 675648.

The previous prime is 763237. The next prime is 763261. The reversal of 763249 is 942367.

763249 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (763237) and next prime (763261).

It is not a de Polignac number, because 763249 - 2⁹ = 762737 is a prime.

It is a super-3 number, since 3×763249³ = 1333889907536181747, which contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

763249 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 763249.

It is not an unprimeable number, because it can be changed into a prime (763349) 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 11 ways as a sum of consecutive naturals, for example, 5422 + ... + 5560.

2⁷⁶³²⁴⁹ is an apocalyptic number.

It is an amenable number.

763249 is a deficient number, since it is larger than the sum of its proper divisors (96351).

763249 is a wasteful number, since it uses less digits than its factorization.

763249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 763249 is about 873.6412307120. The cubic root of 763249 is about 91.3879105608.

The spelling of 763249 in words is "seven hundred sixty-three thousand, two hundred forty-nine".