1028313 has 48 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 529920.

The previous prime is 1028309. The next prime is 1028317. The reversal of 1028313 is 3138201.

1028313 = 182² + 183² + ... + 208².

It is an interprime number because it is at equal distance from previous prime (1028309) and next prime (1028317).

It is not a de Polignac number, because 1028313 - 2² = 1028309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1028317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21856 + ... + 21902.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2^1028313 is an apocalyptic number.

1028313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1028313 is a deficient number, since it is larger than the sum of its proper divisors (858663).

1028313 is a wasteful number, since it uses less digits than its factorization.

1028313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1028313 is about 1014.0576906666. The cubic root of 1028313 is about 100.9349972222.

It can be divided in two parts, 10283 and 13, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 1028313 in words is "one million, twenty-eight thousand, three hundred thirteen".