2821257 has 8 divisors (see below), whose sum is σ = 4179680. Its totient is φ = 1880820.

The previous prime is 2821229. The next prime is 2821267. The reversal of 2821257 is 7521282.

It is not a de Polignac number, because 2821257 - 2⁸ = 2821001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 104491 = 2821257 / (2 + 8 + 2 + 1 + 2 + 5 + 7).

It is a Duffinian number.

2821257 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2821257.

It is not an unprimeable number, because it can be changed into a prime (2821267) 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, 52219 + ... + 52272.

It is an arithmetic number, because the mean of its divisors is an integer number (522460).

2^2821257 is an apocalyptic number.

2821257 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2821257 is a deficient number, since it is larger than the sum of its proper divisors (1358423).

2821257 is a wasteful number, since it uses less digits than its factorization.

2821257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104500 (or 104494 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2821257 is about 1679.6597869807. The cubic root of 2821257 is about 141.3017530356.

The spelling of 2821257 in words is "two million, eight hundred twenty-one thousand, two hundred fifty-seven".