92116332 has 288 divisors, whose sum is σ = 321753600. Its totient is φ = 22239360.

The previous prime is 92116331. The next prime is 92116333. The reversal of 92116332 is 23361129.

92116332 is a `hidden beast` number, since 9 + 21 + 1 + 633 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (92116331) and next prime (92116333).

It is a super-2 number, since 2×92116332² = 16970837242268448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 92116296 and 92116305.

It is not an unprimeable number, because it can be changed into a prime (92116331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738018 + ... + 1738070.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 2^92116332 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 92116332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

92116332 is an abundant number, since it is smaller than the sum of its proper divisors (229637268).

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

92116332 is a wasteful number, since it uses less digits than its factorization.

92116332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 92116332 is about 9597.7253555204. The cubic root of 92116332 is about 451.6259402980.

The spelling of 92116332 in words is "ninety-two million, one hundred sixteen thousand, three hundred thirty-two".