92001312 has 96 divisors (see below), whose sum is σ = 289013760. Its totient is φ = 28304640.

The previous prime is 92001307. The next prime is 92001317. The reversal of 92001312 is 21310029.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (92001307) and next prime (92001317).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (92001317) 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 15 ways as a sum of consecutive naturals, for example, 7137 + ... + 15327.

It is an arithmetic number, because the mean of its divisors is an integer number (3010560).

Almost surely, 2^92001312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144506880).

92001312 is an abundant number, since it is smaller than the sum of its proper divisors (197012448).

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

92001312 is a wasteful number, since it uses less digits than its factorization.

92001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 92001312 is about 9591.7314391094. The cubic root of 92001312 is about 451.4378894926.

The spelling of 92001312 in words is "ninety-two million, one thousand, three hundred twelve".