2713936 has 20 divisors (see below), whose sum is σ = 5440500. Its totient is φ = 1309952.

The previous prime is 2713933. The next prime is 2713937. The reversal of 2713936 is 6393172.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 1547536 = 1080^2 + 1244^2 .

It is a super-2 number, since 2×2713936² = 14730897224192, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 2713898 and 2713907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2713933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2461 + ... + 3388.

It is an arithmetic number, because the mean of its divisors is an integer number (272025).

2^2713936 is an apocalyptic number.

It is an amenable number.

2713936 is an abundant number, since it is smaller than the sum of its proper divisors (2726564).

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

2713936 is a wasteful number, since it uses less digits than its factorization.

2713936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5880 counting only the distinct ones).

The product of its digits is 6804, while the sum is 31.

The square root of 2713936 is about 1647.4028044167. The cubic root of 2713936 is about 139.4868287475.

The spelling of 2713936 in words is "two million, seven hundred thirteen thousand, nine hundred thirty-six".