807997 has 2 divisors, whose sum is σ = 807998. Its totient is φ = 807996.

The previous prime is 807973. The next prime is 808019. The reversal of 807997 is 799708.

807997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 674041 + 133956 = 821^2 + 366^2 .

It is a cyclic number.

It is not a de Polignac number, because 807997 - 2⁷ = 807869 is a prime.

It is a Chen prime.

807997 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (807907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403998 + 403999.

It is an arithmetic number, because the mean of its divisors is an integer number (403999).

2⁸⁰⁷⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

807997 is a deficient number, since it is larger than the sum of its proper divisors (1).

807997 is an equidigital number, since it uses as much as digits as its factorization.

807997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752, while the sum is 40.

The square root of 807997 is about 898.8865334401. The cubic root of 807997 is about 93.1400748834.

The spelling of 807997 in words is "eight hundred seven thousand, nine hundred ninety-seven".