1053000 has 160 divisors (see below), whose sum is σ = 3963960. Its totient is φ = 259200.

The previous prime is 1052993. The next prime is 1053007. The reversal of 1053000 is 3501.

It is an interprime number because it is at equal distance from previous prime (1052993) and next prime (1053007).

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 910116 = 378^2 + 954^2 .

It is a super-2 number, since 2×1053000² = 2217618000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1053007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80994 + ... + 81006.

2^1053000 is an apocalyptic number.

1053000 is a gapful number since it is divisible by the number (10) 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 1053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981980).

1053000 is an abundant number, since it is smaller than the sum of its proper divisors (2910960).

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

1053000 is a wasteful number, since it uses less digits than its factorization.

1053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1053000 is about 1026.1578825892. The cubic root of 1053000 is about 101.7363432904.

Adding to 1053000 its reverse (3501), we get a palindrome (1056501).

The spelling of 1053000 in words is "one million, fifty-three thousand".