972567 has 10 divisors (see below), whose sum is σ = 1452968. Its totient is φ = 648324.

The previous prime is 972557. The next prime is 972577. The reversal of 972567 is 765279.

972567 is a `hidden beast` number, since 97 + 2 + 567 = 666.

It is an interprime number because it is at equal distance from previous prime (972557) and next prime (972577).

It is not a de Polignac number, because 972567 - 2¹⁶ = 907031 is a prime.

It is a Duffinian number.

972567 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972567.

It is not an unprimeable number, because it can be changed into a prime (972557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5923 + ... + 6084.

2⁹⁷²⁵⁶⁷ is an apocalyptic number.

972567 is a deficient number, since it is larger than the sum of its proper divisors (480401).

972567 is a wasteful number, since it uses less digits than its factorization.

972567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12019 (or 12010 counting only the distinct ones).

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

The square root of 972567 is about 986.1881159292. The cubic root of 972567 is about 99.0770749651.

The spelling of 972567 in words is "nine hundred seventy-two thousand, five hundred sixty-seven".