99757 has 4 divisors (see below), whose sum is σ = 114016. Its totient is φ = 85500.

The previous prime is 99733. The next prime is 99761. The reversal of 99757 is 75799.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75799 = 229 ⋅331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-99757 is a prime.

It is an Ulam number.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7119 + ... + 7132.

It is an arithmetic number, because the mean of its divisors is an integer number (28504).

2⁹⁹⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

99757 is a deficient number, since it is larger than the sum of its proper divisors (14259).

99757 is a wasteful number, since it uses less digits than its factorization.

99757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14258.

The product of its digits is 19845, while the sum is 37.

The square root of 99757 is about 315.8433155854. The cubic root of 99757 is about 46.3782609719.

The spelling of 99757 in words is "ninety-nine thousand, seven hundred fifty-seven".