2813346 has 32 divisors (see below), whose sum is σ = 6376320. Its totient is φ = 919152.

The previous prime is 2813341. The next prime is 2813353. The reversal of 2813346 is 6433182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2813341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2371 + ... + 3353.

It is an arithmetic number, because the mean of its divisors is an integer number (199260).

2^2813346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188160).

2813346 is an abundant number, since it is smaller than the sum of its proper divisors (3562974).

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

2813346 is a wasteful number, since it uses less digits than its factorization.

2813346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1041 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2813346 is about 1677.3031926280. The cubic root of 2813346 is about 141.1695560952.

The spelling of 2813346 in words is "two million, eight hundred thirteen thousand, three hundred forty-six".