2507967 has 54 divisors (see below), whose sum is σ = 4730544. Its totient is φ = 1275120.

The previous prime is 2507963. The next prime is 2508001. The reversal of 2507967 is 7697052.

It is not a de Polignac number, because 2507967 - 2² = 2507963 is a prime.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507963) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 53338 + ... + 53384.

2^2507967 is an apocalyptic number.

2507967 is a deficient number, since it is larger than the sum of its proper divisors (2222577).

2507967 is a wasteful number, since it uses less digits than its factorization.

2507967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2507967 is about 1583.6562126926. The cubic root of 2507967 is about 135.8648997191.

The spelling of 2507967 in words is "two million, five hundred seven thousand, nine hundred sixty-seven".