1057164 has 24 divisors (see below), whose sum is σ = 2534448. Its totient is φ = 342720.

The previous prime is 1057163. The next prime is 1057181. The reversal of 1057164 is 4617501.

It is a super-2 number, since 2×1057164² = 2235191445792, which contains 22 as substring.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1057163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747 + ... + 1634.

It is an arithmetic number, because the mean of its divisors is an integer number (105602).

2^1057164 is an apocalyptic number.

It is an amenable number.

1057164 is an abundant number, since it is smaller than the sum of its proper divisors (1477284).

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

1057164 is a wasteful number, since it uses less digits than its factorization.

1057164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1057164 is about 1028.1848082908. The cubic root of 1057164 is about 101.8702695183.

It can be divided in two parts, 1057 and 164, that added together give a palindrome (1221).

The spelling of 1057164 in words is "one million, fifty-seven thousand, one hundred sixty-four".