1167312 has 40 divisors (see below), whose sum is σ = 3062304. Its totient is φ = 383104.

The previous prime is 1167307. The next prime is 1167317. The reversal of 1167312 is 2137611.

It is an interprime number because it is at equal distance from previous prime (1167307) and next prime (1167317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167317) 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 7 ways as a sum of consecutive naturals, for example, 3838 + ... + 4130.

2^1167312 is an apocalyptic number.

1167312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1167312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531152).

1167312 is an abundant number, since it is smaller than the sum of its proper divisors (1894992).

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

1167312 is a wasteful number, since it uses less digits than its factorization.

1167312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 1167312 is about 1080.4221397213. The cubic root of 1167312 is about 105.2920666565.

Subtracting 1167312 from its reverse (2137611), we obtain a cube (970299 = 99³).

The spelling of 1167312 in words is "one million, one hundred sixty-seven thousand, three hundred twelve".