913952 has 30 divisors (see below), whose sum is σ = 1949283. Its totient is φ = 421824.

The previous prime is 913943. The next prime is 913981. The reversal of 913952 is 259319.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 913936 = 4^2 + 956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=676.

It is a Duffinian number.

Its product of digits (2430) is a multiple of the sum of its prime divisors (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 913952.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 70298 + ... + 70310.

913952 is a Friedman number, since it can be written as 2*(9*3-1)^(9-5), using all its digits and the basic arithmetic operations.

2⁹¹³⁹⁵² 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 913952

913952 is an abundant number, since it is smaller than the sum of its proper divisors (1035331).

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

913952 is an frugal number, since it uses more digits than its factorization.

913952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 15 counting only the distinct ones).

The product of its digits is 2430, while the sum is 29.

The square root of 913952 is about 956.0083681642. The cubic root of 913952 is about 97.0452900772.

The spelling of 913952 in words is "nine hundred thirteen thousand, nine hundred fifty-two".