2572967 has 12 divisors (see below), whose sum is σ = 2836680. Its totient is φ = 2330496.

The previous prime is 2572949. The next prime is 2572981. The reversal of 2572967 is 7692752.

2572967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2572967 - 2¹² = 2568871 is a prime.

It is a super-3 number, since 3×2572967³ = 51100353338504865189, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2572967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8228 + ... + 8534.

It is an arithmetic number, because the mean of its divisors is an integer number (236390).

2^2572967 is an apocalyptic number.

2572967 is a deficient number, since it is larger than the sum of its proper divisors (263713).

2572967 is a wasteful number, since it uses less digits than its factorization.

2572967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its digits is 52920, while the sum is 38.

The square root of 2572967 is about 1604.0470691348. The cubic root of 2572967 is about 137.0286582916.

The spelling of 2572967 in words is "two million, five hundred seventy-two thousand, nine hundred sixty-seven".