91875 has 30 divisors (see below), whose sum is σ = 178068. Its totient is φ = 42000.

The previous prime is 91873. The next prime is 91909. The reversal of 91875 is 57819.

It is not a de Polignac number, because 91875 - 2^{1} = 91873 is a prime.

It is an Ulam number.

Its product of digits (2520) is a multiple of the sum of its prime divisors (15).

It is not an unprimeable number, because it can be changed into a prime (91873) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13122 + ... + 13128.

2^{91875} is an apocalyptic number.

91875 is a deficient number, since it is larger than the sum of its proper divisors (86193).

91875 is an equidigital number, since it uses as much as digits as its factorization.

91875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 15 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 91875 is about 303.1088913246. The cubic root of 91875 is about 45.1231196286.

Adding to 91875 its product of digits (2520), we get a triangular number (94395 = T_{434}).

The spelling of 91875 in words is "ninety-one thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 125 147 175 245 375 525 625 735 875 1225 1875 2625 3675 4375 6125 13125 18375 30625 91875

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