96345 has 12 divisors (see below), whose sum is σ = 167076. Its totient is φ = 51360.

The previous prime is 96337. The next prime is 96353. The reversal of 96345 is 54369.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96337) and next prime (96353).

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 28224 = 261^2 + 168^2 .

It is not a de Polignac number, because 96345 - 2³ = 96337 is a prime.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1026 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (13923).

2⁹⁶³⁴⁵ is an apocalyptic number.

It is an amenable number.

96345 is a deficient number, since it is larger than the sum of its proper divisors (70731).

96345 is a wasteful number, since it uses less digits than its factorization.

96345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2149 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 96345 is about 310.3949097521. The cubic root of 96345 is about 45.8433550170.

It can be divided in two parts, 96 and 345, that added together give a square (441 = 21²).

The spelling of 96345 in words is "ninety-six thousand, three hundred forty-five".