806977 has 2 divisors, whose sum is σ = 806978. Its totient is φ = 806976.

The previous prime is 806951. The next prime is 806999. The reversal of 806977 is 779608.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 767376 + 39601 = 876^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 806977 - 2¹¹ = 804929 is a prime.

It is a Chen prime.

806977 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (806917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403488 + 403489.

It is an arithmetic number, because the mean of its divisors is an integer number (403489).

2⁸⁰⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

806977 is a deficient number, since it is larger than the sum of its proper divisors (1).

806977 is an equidigital number, since it uses as much as digits as its factorization.

806977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 806977 is about 898.3189856616. The cubic root of 806977 is about 93.1008656285.

The spelling of 806977 in words is "eight hundred six thousand, nine hundred seventy-seven".