97807 has 4 divisors (see below), whose sum is σ = 99936. Its totient is φ = 95680.

The previous prime is 97789. The next prime is 97813. The reversal of 97807 is 70879.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-97807 is a prime.

It is an Ulam number.

It is a Duffinian number.

97807 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97807.

It is not an unprimeable number, because it can be changed into a prime (97847) 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 in 3 ways as a sum of consecutive naturals, for example, 994 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (24984).

2⁹⁷⁸⁰⁷ is an apocalyptic number.

97807 is a deficient number, since it is larger than the sum of its proper divisors (2129).

97807 is a wasteful number, since it uses less digits than its factorization.

97807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128.

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 97807 is about 312.7411069879. The cubic root of 97807 is about 46.0740772412.

The spelling of 97807 in words is "ninety-seven thousand, eight hundred seven".