972667 has 4 divisors (see below), whose sum is σ = 1023880. Its totient is φ = 921456.

The previous prime is 972661. The next prime is 972679. The reversal of 972667 is 766279.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 766279 = 67 ⋅11437.

It is a cyclic number.

It is not a de Polignac number, because 972667 - 2¹⁹ = 448379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25578 + ... + 25615.

It is an arithmetic number, because the mean of its divisors is an integer number (255970).

2⁹⁷²⁶⁶⁷ is an apocalyptic number.

972667 is a deficient number, since it is larger than the sum of its proper divisors (51213).

972667 is a wasteful number, since it uses less digits than its factorization.

972667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51212.

The product of its digits is 31752, while the sum is 37.

The square root of 972667 is about 986.2388148922. The cubic root of 972667 is about 99.0804705728.

The spelling of 972667 in words is "nine hundred seventy-two thousand, six hundred sixty-seven".