• 99066² = 9814072356 is the largest square with distict digits.

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99066 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 28080.

The previous prime is 99053. The next prime is 99079. The reversal of 99066 is 66099.

99066 = 63² + 64² + ... + 81².

It is an interprime number because it is at equal distance from previous prime (99053) and next prime (99079).

99066 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁹⁹⁰⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

99066 is an abundant number, since it is smaller than the sum of its proper divisors (131334).

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

99066 is a wasteful number, since it uses less digits than its factorization.

99066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 99066 is about 314.7475178615. The cubic root of 99066 is about 46.2709279527.

The spelling of 99066 in words is "ninety-nine thousand, sixty-six".