123795 has 32 divisors (see below), whose sum is σ = 253440. Its totient is φ = 56160.

The previous prime is 123791. The next prime is 123803. The reversal of 123795 is 597321.

123795 = T₆₆ + T₆₇ + ... + T₁₀₀.

It is not a de Polignac number, because 123795 - 2² = 123791 is a prime.

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

It is a d-powerful number, because it can be written as 1 + 2¹¹ + 7⁶ + 3⁵ + 9³ + 5⁵ .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (123791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2¹²³⁷⁹⁵ is an apocalyptic number.

123795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123795 is an abundant number, since it is smaller than the sum of its proper divisors (129645).

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

123795 is a wasteful number, since it uses less digits than its factorization.

123795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 123795 is about 351.8451363882. The cubic root of 123795 is about 49.8388142749.

The spelling of 123795 in words is "one hundred twenty-three thousand, seven hundred ninety-five".