2578797 has 40 divisors (see below), whose sum is σ = 4336640. Its totient is φ = 1516320.

The previous prime is 2578787. The next prime is 2578799. The reversal of 2578797 is 7978752.

2578797 is a `hidden beast` number, since 2 + 578 + 79 + 7 = 666.

It is not a de Polignac number, because 2578797 - 2⁶ = 2578733 is a prime.

It is a Duffinian number.

Its product of digits (246960) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578799) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 32604 + ... + 32682.

It is an arithmetic number, because the mean of its divisors is an integer number (108416).

2^2578797 is an apocalyptic number.

2578797 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2578797 is a deficient number, since it is larger than the sum of its proper divisors (1757843).

2578797 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2578796) it forms an eRAP, since the sums of their prime factors are consecutive (134 and 135).

2578797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 2578797 is about 1605.8633192149. The cubic root of 2578797 is about 137.1320764405.

Subtracting from 2578797 its sum of digits (45), we obtain a palindrome (2578752).

It can be divided in two parts, 2578 and 797, that added together give a cube (3375 = 15³).

The spelling of 2578797 in words is "two million, five hundred seventy-eight thousand, seven hundred ninety-seven".