2961567 has 24 divisors (see below), whose sum is σ = 5060640. Its totient is φ = 1632960.

The previous prime is 2961557. The next prime is 2961577. The reversal of 2961567 is 7651692.

2961567 is a `hidden beast` number, since 2 + 96 + 1 + 567 = 666.

It is an interprime number because it is at equal distance from previous prime (2961557) and next prime (2961577).

It is not a de Polignac number, because 2961567 - 2⁸ = 2961311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961527) 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, 1017 + ... + 2637.

It is an arithmetic number, because the mean of its divisors is an integer number (210860).

2^2961567 is an apocalyptic number.

2961567 is a deficient number, since it is larger than the sum of its proper divisors (2099073).

2961567 is a wasteful number, since it uses less digits than its factorization.

2961567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1660 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2961567 is about 1720.9203932780. The cubic root of 2961567 is about 143.6064194594.

The spelling of 2961567 in words is "two million, nine hundred sixty-one thousand, five hundred sixty-seven".