2142765 has 24 divisors (see below), whose sum is σ = 3934008. Its totient is φ = 1075200.

The previous prime is 2142761. The next prime is 2142773. The reversal of 2142765 is 5672412.

2142765 = T₆₆ + T₆₇ + ... + T₂₃₅.

It can be written as a sum of positive squares in 4 ways, for example, as 447561 + 1695204 = 669^2 + 1302^2 .

It is not a de Polignac number, because 2142765 - 2² = 2142761 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (163917).

2^2142765 is an apocalyptic number.

It is an amenable number.

2142765 is a deficient number, since it is larger than the sum of its proper divisors (1791243).

2142765 is a wasteful number, since it uses less digits than its factorization.

2142765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2826 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2142765 is about 1463.8186363071. The cubic root of 2142765 is about 128.9213510133.

The spelling of 2142765 in words is "two million, one hundred forty-two thousand, seven hundred sixty-five".