2820335 has 16 divisors (see below), whose sum is σ = 3934272. Its totient is φ = 1900800.

The previous prime is 2820331. The next prime is 2820343. The reversal of 2820335 is 5330282.

2820335 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2820335 - 2² = 2820331 is a prime.

It is a super-3 number, since 3×2820335³ = 67301283334383286125, which contains 333 as substring.

It is a d-powerful number, because it can be written as 2⁸ + 8 + 2²⁰ + 0 + 3¹¹ + 3¹³ + 5² .

It is a Duffinian number.

2820335 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2820335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1475 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (245892).

2^2820335 is an apocalyptic number.

2820335 is a deficient number, since it is larger than the sum of its proper divisors (1113937).

2820335 is a wasteful number, since it uses less digits than its factorization.

2820335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2820335 is about 1679.3853042110. The cubic root of 2820335 is about 141.2863586670.

The spelling of 2820335 in words is "two million, eight hundred twenty thousand, three hundred thirty-five".