1021000 has 32 divisors (see below), whose sum is σ = 2391480. Its totient is φ = 408000.

The previous prime is 1020997. The next prime is 1021001. The reversal of 1021000 is 1201.

It can be written as a sum of positive squares in 4 ways, for example, as 338724 + 682276 = 582^2 + 826^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (1021001) 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, 490 + ... + 1510.

2^1021000 is an apocalyptic number.

1021000 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 1021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195740).

1021000 is an abundant number, since it is smaller than the sum of its proper divisors (1370480).

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

1021000 is a wasteful number, since it uses less digits than its factorization.

1021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1021000 is about 1010.4454463255. The cubic root of 1021000 is about 100.6951563785.

Adding to 1021000 its reverse (1201), we get a palindrome (1022201).

The spelling of 1021000 in words is "one million, twenty-one thousand".