1022121 has 9 divisors (see below), whose sum is σ = 1480791. Its totient is φ = 679392.

The previous prime is 1022113. The next prime is 1022123. The reversal of 1022121 is 1212201.

The square root of 1022121 is 1011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 275625 + 746496 = 525^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1022121 - 2³ = 1022113 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1022123) 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 8 ways as a sum of consecutive naturals, for example, 2865 + ... + 3201.

2^1022121 is an apocalyptic number.

1022121 is the 1011-st square number.

1022121 is the 506-th centered octagonal number.

It is an amenable number.

1022121 is a deficient number, since it is larger than the sum of its proper divisors (458670).

1022121 is an frugal number, since it uses more digits than its factorization.

1022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 1022121 is about 100.7319954199.

Adding to 1022121 its reverse (1212201), we get a palindrome (2234322).

Multiplying 1022121 by its reverse (1212201), we get a square (1239016098321 = 1113111²).

The spelling of 1022121 in words is "one million, twenty-two thousand, one hundred twenty-one".