93750 has 28 divisors (see below), whose sum is σ = 234372. Its totient is φ = 25000.

The previous prime is 93739. The next prime is 93761. The reversal of 93750 is 5739.

Multipling 93750 by its sum of digits (24), we get a square (2250000 = 1500^{2}).

It is an interprime number because it is at equal distance from previous prime (93739) and next prime (93761).

It is an ABA number since it can be written as A⋅B^{A}, here for A=6, B=5.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a self number, because there is not a number *n* which added to its sum of digits gives 93750.

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 93750.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 18748 + ... + 18752.

2^{93750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117186).

93750 is an abundant number, since it is smaller than the sum of its proper divisors (140622).

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

93750 is an frugal number, since it uses more digits than its factorization.

93750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 93750 is about 306.1862178479. The cubic root of 93750 is about 45.4280148208.

The spelling of 93750 in words is "ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 625 750 1250 1875 3125 3750 6250 9375 15625 18750 31250 46875 93750

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