2764965 has 32 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 1188864.

The previous prime is 2764939. The next prime is 2764967. The reversal of 2764965 is 5694672.

It is not a de Polignac number, because 2764965 - 2⁵ = 2764933 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹¹ + 7⁷ + 6⁴ + 4¹⁰ + 9⁶ + 6⁷ + 5⁷ .

2764965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011 + ... + 2559.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

2^2764965 is an apocalyptic number.

It is an amenable number.

2764965 is a deficient number, since it is larger than the sum of its proper divisors (2591835).

2764965 is a wasteful number, since it uses less digits than its factorization.

2764965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581.

The product of its digits is 90720, while the sum is 39.

The square root of 2764965 is about 1662.8183905646. The cubic root of 2764965 is about 140.3556434095.

It can be divided in two parts, 276 and 4965, that multiplied together give a triangular number (1370340 = T₁₆₅₅).

The spelling of 2764965 in words is "two million, seven hundred sixty-four thousand, nine hundred sixty-five".