91825 has 6 divisors (see below), whose sum is σ = 113894. Its totient is φ = 73440.

The previous prime is 91823. The next prime is 91837. The reversal of 91825 is 52819.

91825 = T₇ + T₈ + ... + T₈₁.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 91809 = 4^2 + 303^2 .

It is not a de Polignac number, because 91825 - 2¹ = 91823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 3673 = 91825 / (9 + 1 + 8 + 2 + 5).

It is a d-powerful number, because it can be written as 9⁵ + 1 + 8⁵ + 2 + 5 .

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 91825.

It is not an unprimeable number, because it can be changed into a prime (91823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1812 + ... + 1861.

2⁹¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

91825 is a deficient number, since it is larger than the sum of its proper divisors (22069).

91825 is a wasteful number, since it uses less digits than its factorization.

91825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3678 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 91825 is about 303.0264014900. The cubic root of 91825 is about 45.1149325433.

The spelling of 91825 in words is "ninety-one thousand, eight hundred twenty-five".