972085067 has 8 divisors (see below), whose sum is σ = 993384000. Its totient is φ = 950811904.

The previous prime is 972085063. The next prime is 972085091. The reversal of 972085067 is 760580279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972085067 - 2² = 972085063 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972085061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83309 + ... + 94257.

It is an arithmetic number, because the mean of its divisors is an integer number (124173000).

Almost surely, 2^972085067 is an apocalyptic number.

972085067 is a deficient number, since it is larger than the sum of its proper divisors (21298933).

972085067 is a wasteful number, since it uses less digits than its factorization.

972085067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12885.

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 972085067 is about 31178.2787690405. The cubic root of 972085067 is about 990.6070714638.

The spelling of 972085067 in words is "nine hundred seventy-two million, eighty-five thousand, sixty-seven".