99738 has 16 divisors (see below), whose sum is σ = 221760. Its totient is φ = 33228.

The previous prime is 99733. The next prime is 99761. The reversal of 99738 is 83799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2⁹⁹⁷³⁸ is an apocalyptic number.

99738 is an abundant number, since it is smaller than the sum of its proper divisors (122022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

99738 is a wasteful number, since it uses less digits than its factorization.

99738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1852 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 99738 is about 315.8132359481. The cubic root of 99738 is about 46.3753163401.

It can be divided in two parts, 997 and 38, that added together give a triangular number (1035 = T₄₅).

The spelling of 99738 in words is "ninety-nine thousand, seven hundred thirty-eight".