913872 has 40 divisors (see below), whose sum is σ = 2400640. Its totient is φ = 299520.

The previous prime is 913853. The next prime is 913873. The reversal of 913872 is 278319.

It is a happy number.

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 913872.

It is not an unprimeable number, because it can be changed into a prime (913873) by changing a digit.

913872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3672 + ... + 3912.

It is an arithmetic number, because the mean of its divisors is an integer number (60016).

2⁹¹³⁸⁷² 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 913872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200320).

913872 is an abundant number, since it is smaller than the sum of its proper divisors (1486768).

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

913872 is a wasteful number, since it uses less digits than its factorization.

913872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 913872 is about 955.9665266106. The cubic root of 913872 is about 97.0424584735.

The spelling of 913872 in words is "nine hundred thirteen thousand, eight hundred seventy-two".