905165352 has 144 divisors (see below), whose sum is σ = 3034081440. Its totient is φ = 238702464.

The previous prime is 905165347. The next prime is 905165383. The reversal of 905165352 is 253561509.

905165352 is a `hidden beast` number, since 90 + 516 + 5 + 3 + 52 = 666.

It is a super-2 number, since 2×905165352² = 1638648628922567808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79863 + ... + 90489.

It is an arithmetic number, because the mean of its divisors is an integer number (21070010).

Almost surely, 2^905165352 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 905165352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517040720).

905165352 is an abundant number, since it is smaller than the sum of its proper divisors (2128916088).

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

905165352 is a wasteful number, since it uses less digits than its factorization.

905165352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 905165352 is about 30085.9660306928. The cubic root of 905165352 is about 967.3329335149.

The spelling of 905165352 in words is "nine hundred five million, one hundred sixty-five thousand, three hundred fifty-two".