971268 has 24 divisors (see below), whose sum is σ = 2345280. Its totient is φ = 312480.

The previous prime is 971263. The next prime is 971273. The reversal of 971268 is 862179.

971268 = T₆₇ + T₆₈ + ... + T₁₈₂.

It is an interprime number because it is at equal distance from previous prime (971263) and next prime (971273).

It is not an unprimeable number, because it can be changed into a prime (971263) 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, 1048 + ... + 1743.

It is an arithmetic number, because the mean of its divisors is an integer number (97720).

2⁹⁷¹²⁶⁸ is an apocalyptic number.

It is an amenable number.

971268 is an abundant number, since it is smaller than the sum of its proper divisors (1374012).

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

971268 is a wasteful number, since it uses less digits than its factorization.

971268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2825 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 971268 is about 985.5292994122. The cubic root of 971268 is about 99.0329448564.

The spelling of 971268 in words is "nine hundred seventy-one thousand, two hundred sixty-eight".