2567385 has 24 divisors (see below), whose sum is σ = 4530240. Its totient is φ = 1344672.

The previous prime is 2567377. The next prime is 2567387. The reversal of 2567385 is 5837652.

It is not a de Polignac number, because 2567385 - 2³ = 2567377 is a prime.

It is a Curzon number.

2567385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2567387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2172 + ... + 3138.

It is an arithmetic number, because the mean of its divisors is an integer number (188760).

2^2567385 is an apocalyptic number.

It is an amenable number.

2567385 is a deficient number, since it is larger than the sum of its proper divisors (1962855).

2567385 is a wasteful number, since it uses less digits than its factorization.

2567385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1034 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 2567385 is about 1602.3061505218. The cubic root of 2567385 is about 136.9294929079.

The spelling of 2567385 in words is "two million, five hundred sixty-seven thousand, three hundred eighty-five".