766997 has 12 divisors (see below), whose sum is σ = 974016. Its totient is φ = 597240.

The previous prime is 766967. The next prime is 766999. The reversal of 766997 is 799667.

766997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 766997 - 2¹² = 762901 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 (766999) 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, 173 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (81168).

2⁷⁶⁶⁹⁹⁷ is an apocalyptic number.

766997 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

766997 is a deficient number, since it is larger than the sum of its proper divisors (207019).

766997 is a wasteful number, since it uses less digits than its factorization.

766997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1441 counting only the distinct ones).

The product of its digits is 142884, while the sum is 44.

The square root of 766997 is about 875.7836490824. The cubic root of 766997 is about 91.5372557733.

The spelling of 766997 in words is "seven hundred sixty-six thousand, nine hundred ninety-seven".