146985 has 16 divisors (see below), whose sum is σ = 241920. Its totient is φ = 76160.

The previous prime is 146983. The next prime is 146987. The reversal of 146985 is 589641.

146985 = T_{14} + T_{15} + ... +
T_{95}.

146985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146983) and next prime (146987).

It is not a de Polignac number, because 146985 - 2^{1} = 146983 is a prime.

Its product of digits (8640) is a multiple of the sum of its prime divisors (288).

146985 is a lucky number.

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 146985.

It is not an unprimeable number, because it can be changed into a prime (146983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2^{146985} is an apocalyptic number.

146985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146985 is a deficient number, since it is larger than the sum of its proper divisors (94935).

146985 is a wasteful number, since it uses less digits than its factorization.

146985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its digits is 8640, while the sum is 33.

The square root of 146985 is about 383.3862282347. The cubic root of 146985 is about 52.7745257050.

The spelling of 146985 in words is "one hundred forty-six thousand, nine hundred eighty-five".

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