99125 has 16 divisors (see below), whose sum is σ = 135408. Its totient is φ = 72000.

The previous prime is 99119. The next prime is 99131. The reversal of 99125 is 52199.

99125 = T₇₄ + T₇₅ + ... + T₉₉.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99119) and next prime (99131).

It can be written as a sum of positive squares in 8 ways, for example, as 78961 + 20164 = 281^2 + 142^2 .

It is not a de Polignac number, because 99125 - 2⁴ = 99109 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 99094 and 99103.

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 99125.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1595 + ... + 1655.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2⁹⁹¹²⁵ is an apocalyptic number.

It is an amenable number.

99125 is a deficient number, since it is larger than the sum of its proper divisors (36283).

99125 is a wasteful number, since it uses less digits than its factorization.

99125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its digits is 810, while the sum is 26.

The square root of 99125 is about 314.8412298286. The cubic root of 99125 is about 46.2801118737.

Subtracting from 99125 its sum of digits (26), we obtain a palindrome (99099).

The spelling of 99125 in words is "ninety-nine thousand, one hundred twenty-five".