99777 has 8 divisors (see below), whose sum is σ = 135040. Its totient is φ = 65520.

The previous prime is 99767. The next prime is 99787. The reversal of 99777 is 77799.

It is an interprime number because it is at equal distance from previous prime (99767) and next prime (99787).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 99777 - 2⁴ = 99761 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (16880).

2⁹⁹⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

99777 is a deficient number, since it is larger than the sum of its proper divisors (35263).

99777 is a wasteful number, since it uses less digits than its factorization.

99777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503.

The product of its digits is 27783, while the sum is 39.

The square root of 99777 is about 315.8749752671. The cubic root of 99777 is about 46.3813601805.

The spelling of 99777 in words is "ninety-nine thousand, seven hundred seventy-seven".