764971 has 2 divisors, whose sum is σ = 764972. Its totient is φ = 764970.

The previous prime is 764969. The next prime is 764977. The reversal of 764971 is 179467.

764971 is nontrivially palindromic in base 5.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 764971 - 2¹ = 764969 is a prime.

Together with 764969, it forms a pair of twin primes.

764971 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (764977) 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 as a sum of consecutive naturals, namely, 382485 + 382486.

It is an arithmetic number, because the mean of its divisors is an integer number (382486).

2⁷⁶⁴⁹⁷¹ is an apocalyptic number.

764971 is a deficient number, since it is larger than the sum of its proper divisors (1).

764971 is an equidigital number, since it uses as much as digits as its factorization.

764971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 34.

The square root of 764971 is about 874.6262058731. The cubic root of 764971 is about 91.4565870479.

The spelling of 764971 in words is "seven hundred sixty-four thousand, nine hundred seventy-one".