1053164 has 24 divisors (see below), whose sum is σ = 2180640. Its totient is φ = 435456.

The previous prime is 1053103. The next prime is 1053179. The reversal of 1053164 is 4613501.

1053164 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×1053164² = 2218308821792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164 + ... + 1460.

It is an arithmetic number, because the mean of its divisors is an integer number (90860).

2^1053164 is an apocalyptic number.

1053164 is a gapful number since it is divisible by the number (14) 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 1053164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090320).

1053164 is an abundant number, since it is smaller than the sum of its proper divisors (1127476).

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

1053164 is a wasteful number, since it uses less digits than its factorization.

1053164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1053164 is about 1026.2377892087. The cubic root of 1053164 is about 101.7416246751.

Adding to 1053164 its reverse (4613501), we get a palindrome (5666665).

The spelling of 1053164 in words is "one million, fifty-three thousand, one hundred sixty-four".