2813772 has 48 divisors (see below), whose sum is σ = 7493472. Its totient is φ = 814080.

The previous prime is 2813737. The next prime is 2813807. The reversal of 2813772 is 2773182.

It is an interprime number because it is at equal distance from previous prime (2813737) and next prime (2813807).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122 + ... + 3182.

It is an arithmetic number, because the mean of its divisors is an integer number (156114).

2^2813772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746736).

2813772 is an abundant number, since it is smaller than the sum of its proper divisors (4679700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2813772 is a wasteful number, since it uses less digits than its factorization.

2813772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1096 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 2813772 is about 1677.4301773844. The cubic root of 2813772 is about 141.1766810863.

The spelling of 2813772 in words is "two million, eight hundred thirteen thousand, seven hundred seventy-two".