305161000 has 64 divisors (see below), whose sum is σ = 716798160. Its totient is φ = 121600000.

The previous prime is 305160967. The next prime is 305161009. The reversal of 305161000 is 161503.

305161000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7322436 + 297838564 = 2706^2 + 17258^2 .

It is not an unprimeable number, because it can be changed into a prime (305161009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400620 + ... + 401380.

Almost surely, 2^305161000 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 305161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358399080).

305161000 is an abundant number, since it is smaller than the sum of its proper divisors (411637160).

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

305161000 is a wasteful number, since it uses less digits than its factorization.

305161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 305161000 is about 17468.8580050328. The cubic root of 305161000 is about 673.2499706183.

The spelling of 305161000 in words is "three hundred five million, one hundred sixty-one thousand".