2613567 has 16 divisors (see below), whose sum is σ = 3934080. Its totient is φ = 1528800.

The previous prime is 2613547. The next prime is 2613601. The reversal of 2613567 is 7653162.

It is not a de Polignac number, because 2613567 - 2⁶ = 2613503 is a prime.

2613567 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613547) 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, 409 + ... + 2322.

It is an arithmetic number, because the mean of its divisors is an integer number (245880).

2^2613567 is an apocalyptic number.

2613567 is a deficient number, since it is larger than the sum of its proper divisors (1320513).

2613567 is a wasteful number, since it uses less digits than its factorization.

2613567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774.

The product of its digits is 7560, while the sum is 30.

The square root of 2613567 is about 1616.6530239974. The cubic root of 2613567 is about 137.7456457375.

It can be divided in two parts, 261 and 3567, that added together give a triangular number (3828 = T₈₇).

The spelling of 2613567 in words is "two million, six hundred thirteen thousand, five hundred sixty-seven".