2052567 has 16 divisors (see below), whose sum is σ = 3317760. Its totient is φ = 1243800.

The previous prime is 2052559. The next prime is 2052569. The reversal of 2052567 is 7652502.

It is not a de Polignac number, because 2052567 - 2³ = 2052559 is a prime.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2052567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3159 + ... + 3752.

It is an arithmetic number, because the mean of its divisors is an integer number (207360).

2^2052567 is an apocalyptic number.

2052567 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2052567 is a deficient number, since it is larger than the sum of its proper divisors (1265193).

2052567 is a wasteful number, since it uses less digits than its factorization.

2052567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2052567 is about 1432.6782611598. The cubic root of 2052567 is about 127.0864106992.

It can be divided in two parts, 205 and 2567, that added together give a palindrome (2772).

The spelling of 2052567 in words is "two million, fifty-two thousand, five hundred sixty-seven".