967671972 has 18 divisors (see below), whose sum is σ = 2446059798. Its totient is φ = 322557312.

The previous prime is 967671967. The next prime is 967671973. The reversal of 967671972 is 279176769.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 531948096 + 435723876 = 23064^2 + 20874^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (967671973) 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 5 ways as a sum of consecutive naturals, for example, 13439853 + ... + 13439924.

It is an arithmetic number, because the mean of its divisors is an integer number (135892211).

Almost surely, 2^967671972 is an apocalyptic number.

It is an amenable number.

967671972 is an abundant number, since it is smaller than the sum of its proper divisors (1478387826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

967671972 is a wasteful number, since it uses less digits than its factorization.

967671972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26879787 (or 26879782 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The square root of 967671972 is about 31107.4263159137. The cubic root of 967671972 is about 989.1057366887.

The spelling of 967671972 in words is "nine hundred sixty-seven million, six hundred seventy-one thousand, nine hundred seventy-two".