91825140 has 72 divisors (see below), whose sum is σ = 281238048. Its totient is φ = 22200960.

The previous prime is 91825121. The next prime is 91825159. The reversal of 91825140 is 4152819.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (91825121) and next prime (91825159).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 91825098 and 91825107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245994 + ... + 246366.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2^91825140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91825140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140619024).

91825140 is an abundant number, since it is smaller than the sum of its proper divisors (189412908).

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

91825140 is a wasteful number, since it uses less digits than its factorization.

91825140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 91825140 is about 9582.5435036842. The cubic root of 91825140 is about 451.1495547132.

Adding to 91825140 its reverse (4152819), we get a palindrome (95977959).

The spelling of 91825140 in words is "ninety-one million, eight hundred twenty-five thousand, one hundred forty".