972067 has 4 divisors (see below), whose sum is σ = 1003456. Its totient is φ = 940680.

The previous prime is 972047. The next prime is 972071. The reversal of 972067 is 760279.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 972067 - 2⁷ = 971939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31), and also a Moran number because the ratio is a prime number: 31357 = 972067 / (9 + 7 + 2 + 0 + 6 + 7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972017) 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 3 ways as a sum of consecutive naturals, for example, 15648 + ... + 15709.

It is an arithmetic number, because the mean of its divisors is an integer number (250864).

2⁹⁷²⁰⁶⁷ is an apocalyptic number.

972067 is a deficient number, since it is larger than the sum of its proper divisors (31389).

972067 is a wasteful number, since it uses less digits than its factorization.

972067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31388.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 972067 is about 985.9345820084. The cubic root of 972067 is about 99.0600934344.

The spelling of 972067 in words is "nine hundred seventy-two thousand, sixty-seven".