2564137 has 6 divisors (see below), whose sum is σ = 2636718. Its totient is φ = 2493504.

The previous prime is 2564123. The next prime is 2564143. The reversal of 2564137 is 7314652.

It can be written as a sum of positive squares in 3 ways, for example, as 670761 + 1893376 = 819^2 + 1376^2 .

It is not a de Polignac number, because 2564137 - 2¹⁵ = 2531369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 433 + ... + 2305.

It is an arithmetic number, because the mean of its divisors is an integer number (439453).

2^2564137 is an apocalyptic number.

It is an amenable number.

2564137 is a deficient number, since it is larger than the sum of its proper divisors (72581).

2564137 is an equidigital number, since it uses as much as digits as its factorization.

2564137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1910 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 2564137 is about 1601.2922906203. The cubic root of 2564137 is about 136.8717253513.

Adding to 2564137 its reverse (7314652), we get a palindrome (9878789).

It can be divided in two parts, 2564 and 137, that added together give a triangular number (2701 = T₇₃).

The spelling of 2564137 in words is "two million, five hundred sixty-four thousand, one hundred thirty-seven".