96125 has 8 divisors (see below), whose sum is σ = 120120. Its totient is φ = 76800.

The previous prime is 96097. The next prime is 96137. The reversal of 96125 is 52169.

96125 = 178² + 179² + 180².

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 89401 = 82^2 + 299^2 .

It is not a de Polignac number, because 96125 - 2⁸ = 95869 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 96125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2⁹⁶¹²⁵ is an apocalyptic number.

It is an amenable number.

96125 is a deficient number, since it is larger than the sum of its proper divisors (23995).

96125 is an equidigital number, since it uses as much as digits as its factorization.

96125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its digits is 540, while the sum is 23.

The square root of 96125 is about 310.0403199585. The cubic root of 96125 is about 45.8084345939.

Subtracting from 96125 its reverse (52169), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 961 and 25, that multiplied together give a square (24025 = 155²).

The spelling of 96125 in words is "ninety-six thousand, one hundred twenty-five".