2705913 has 32 divisors (see below), whose sum is σ = 4659200. Its totient is φ = 1520208.

The previous prime is 2705909. The next prime is 2705933. The reversal of 2705913 is 3195072.

2705913 is a `hidden beast` number, since 2 + 70 + 591 + 3 = 666.

It is not a de Polignac number, because 2705913 - 2² = 2705909 is a prime.

It is a super-4 number, since 4×2705913⁴ (a number of 27 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2705933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19398 + ... + 19536.

It is an arithmetic number, because the mean of its divisors is an integer number (145600).

2^2705913 is an apocalyptic number.

It is an amenable number.

2705913 is a deficient number, since it is larger than the sum of its proper divisors (1953287).

2705913 is a wasteful number, since it uses less digits than its factorization.

2705913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 2705913 is about 1644.9659570946. The cubic root of 2705913 is about 139.3492416889.

It can be divided in two parts, 27059 and 13, that added together give a palindrome (27072).

The spelling of 2705913 in words is "two million, seven hundred five thousand, nine hundred thirteen".