92251632 has 80 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 27820800.

The previous prime is 92251613. The next prime is 92251651. The reversal of 92251632 is 23615229.

It is an interprime number because it is at equal distance from previous prime (92251613) and next prime (92251651).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 92251632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199882 + ... + 200342.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^92251632 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 92251632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

92251632 is an abundant number, since it is smaller than the sum of its proper divisors (168981648).

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

92251632 is a wasteful number, since it uses less digits than its factorization.

92251632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 92251632 is about 9604.7713143000. The cubic root of 92251632 is about 451.8469474234.

The spelling of 92251632 in words is "ninety-two million, two hundred fifty-one thousand, six hundred thirty-two".