2757961 has 8 divisors (see below), whose sum is σ = 2976264. Its totient is φ = 2545920.

The previous prime is 2757917. The next prime is 2758003. The reversal of 2757961 is 1697572.

It can be written as a sum of positive squares in 4 ways, for example, as 1795600 + 962361 = 1340^2 + 981^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2757961 - 2²¹ = 660809 is a prime.

It is a Duffinian number.

2757961 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2757961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2757901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630 + ... + 2431.

It is an arithmetic number, because the mean of its divisors is an integer number (372033).

2^2757961 is an apocalyptic number.

It is an amenable number.

2757961 is a deficient number, since it is larger than the sum of its proper divisors (218303).

2757961 is a wasteful number, since it uses less digits than its factorization.

2757961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131.

The product of its digits is 26460, while the sum is 37.

The square root of 2757961 is about 1660.7109923162. The cubic root of 2757961 is about 140.2370304361.

The spelling of 2757961 in words is "two million, seven hundred fifty-seven thousand, nine hundred sixty-one".