2791953 has 12 divisors (see below), whose sum is σ = 4163328. Its totient is φ = 1801080.

The previous prime is 2791949. The next prime is 2791963. The reversal of 2791953 is 3591972.

It is not a de Polignac number, because 2791953 - 2² = 2791949 is a prime.

2791953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2791913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4725 + ... + 5282.

It is an arithmetic number, because the mean of its divisors is an integer number (346944).

2^2791953 is an apocalyptic number.

It is an amenable number.

2791953 is a deficient number, since it is larger than the sum of its proper divisors (1371375).

2791953 is a wasteful number, since it uses less digits than its factorization.

2791953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10041 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 2791953 is about 1670.9138218352. The cubic root of 2791953 is about 140.8108221978.

It can be divided in two parts, 27919 and 53, that added together give a palindrome (27972).

The spelling of 2791953 in words is "two million, seven hundred ninety-one thousand, nine hundred fifty-three".