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99612 = 22322767
BaseRepresentation
bin11000010100011100
312001122100
4120110130
511141422
62045100
7563262
oct302434
9161570
1099612
1168927
1249790
1336456
1428432
151e7ac
hex1851c

99612 has 18 divisors (see below), whose sum is σ = 251888. Its totient is φ = 33192.

The previous prime is 99611. The next prime is 99623. The reversal of 99612 is 21699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99612.

It is not an unprimeable number, because it can be changed into a prime (99611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1348 + ... + 1419.

299612 is an apocalyptic number.

It is an amenable number.

99612 is an abundant number, since it is smaller than the sum of its proper divisors (152276).

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

99612 is a wasteful number, since it uses less digits than its factorization.

99612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2772 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 99612 is about 315.6136879161. The cubic root of 99612 is about 46.3557793124.

The spelling of 99612 in words is "ninety-nine thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2767 5534 8301 11068 16602 24903 33204 49806 99612