1020393 has 18 divisors (see below), whose sum is σ = 1621802. Its totient is φ = 617760.

The previous prime is 1020389. The next prime is 1020401. The reversal of 1020393 is 3930201.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 393129 = 792^2 + 627^2 .

It is not a de Polignac number, because 1020393 - 2² = 1020389 is a prime.

It is a super-4 number, since 4×1020393⁴ (a number of 25 digits) contains 4444 as substring.

It is an Ulam number.

It is a Duffinian number.

1020393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1020353) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 621 + ... + 1557.

2^1020393 is an apocalyptic number.

It is an amenable number.

1020393 is a deficient number, since it is larger than the sum of its proper divisors (601409).

1020393 is a wasteful number, since it uses less digits than its factorization.

1020393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1020393 is about 1010.1450390909. The cubic root of 1020393 is about 100.6751974896.

Adding to 1020393 its reverse (3930201), we get a palindrome (4950594).

It can be divided in two parts, 10203 and 93, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 1020393 in words is "one million, twenty thousand, three hundred ninety-three".