2765313 has 32 divisors (see below), whose sum is σ = 4404480. Its totient is φ = 1710720.

The previous prime is 2765309. The next prime is 2765333. The reversal of 2765313 is 3135672.

It is a happy number.

2765313 is a `hidden beast` number, since 2 + 7 + 653 + 1 + 3 = 666.

It is not a de Polignac number, because 2765313 - 2² = 2765309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2⁵ + 7² + 6⁷ + 5⁹ + 3⁶ + 1 + 3¹² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2765303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37845 + ... + 37917.

It is an arithmetic number, because the mean of its divisors is an integer number (137640).

2^2765313 is an apocalyptic number.

2765313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2765313 is a deficient number, since it is larger than the sum of its proper divisors (1639167).

2765313 is a wasteful number, since it uses less digits than its factorization.

2765313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 2765313 is about 1662.9230288862. The cubic root of 2765313 is about 140.3615315750.

The spelling of 2765313 in words is "two million, seven hundred sixty-five thousand, three hundred thirteen".