57161000 has 64 divisors (see below), whose sum is σ = 144078480. Its totient is φ = 21100800.

The previous prime is 57160981. The next prime is 57161009. The reversal of 57161000 is 16175.

It can be written as a sum of positive squares in 8 ways, for example, as 37636 + 57123364 = 194^2 + 7558^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (57161009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10802 + ... + 15198.

Almost surely, 2^57161000 is an apocalyptic number.

57161000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72039240).

57161000 is an abundant number, since it is smaller than the sum of its proper divisors (86917480).

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

57161000 is a wasteful number, since it uses less digits than its factorization.

57161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 57161000 is about 7560.4894021485. The cubic root of 57161000 is about 385.2121167660.

Adding to 57161000 its reverse (16175), we get a palindrome (57177175).

The spelling of 57161000 in words is "fifty-seven million, one hundred sixty-one thousand".