93945 has 8 divisors (see below), whose sum is σ = 150336. Its totient is φ = 50096.

The previous prime is 93941. The next prime is 93949. The reversal of 93945 is 54939.

It is an interprime number because it is at equal distance from previous prime (93941) and next prime (93949).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 93945 - 2² = 93941 is a prime.

93945 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (93941) 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, 3117 + ... + 3146.

It is an arithmetic number, because the mean of its divisors is an integer number (18792).

2⁹³⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

93945 is a deficient number, since it is larger than the sum of its proper divisors (56391).

93945 is a wasteful number, since it uses less digits than its factorization.

93945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271.

The product of its digits is 4860, while the sum is 30.

The square root of 93945 is about 306.5044861009. The cubic root of 93945 is about 45.4594897652.

The spelling of 93945 in words is "ninety-three thousand, nine hundred forty-five".