766637 has 2 divisors, whose sum is σ = 766638. Its totient is φ = 766636.

The previous prime is 766609. The next prime is 766639. The reversal of 766637 is 736667.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 724201 + 42436 = 851^2 + 206^2 .

It is a cyclic number.

It is not a de Polignac number, because 766637 - 2¹⁰ = 765613 is a prime.

Together with 766639, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 766597 and 766606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (766639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383318 + 383319.

It is an arithmetic number, because the mean of its divisors is an integer number (383319).

2⁷⁶⁶⁶³⁷ is an apocalyptic number.

It is an amenable number.

766637 is a deficient number, since it is larger than the sum of its proper divisors (1).

766637 is an equidigital number, since it uses as much as digits as its factorization.

766637 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31752, while the sum is 35.

The square root of 766637 is about 875.5780947466. The cubic root of 766637 is about 91.5229321323.

The spelling of 766637 in words is "seven hundred sixty-six thousand, six hundred thirty-seven".