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8154 = 233151

8154 has 16 divisors (see below), whose sum is σ = 18240. Its totient is φ = 2700.

The previous prime is 8147. The next prime is 8161. The reversal of 8154 is 4518.

It is an interprime number because it is at equal distance from previous prime (8147) and next prime (8161).

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8154.

It is an unprimeable number.

8154 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

28154 is an apocalyptic number.

8154 is an abundant number, since it is smaller than the sum of its proper divisors (10086).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120).

8154 is a wasteful number, since it uses less digits than its factorization.

8154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 8154 is about 90.2995016598. The cubic root of 8154 is about 20.1275185562.

The spelling of 8154 in words is "eight thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 151 302 453 906 1359 2718 4077 8154