76123 has 2 divisors, whose sum is σ = 76124. Its totient is φ = 76122.

The previous prime is 76103. The next prime is 76129. The reversal of 76123 is 32167.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 76123 - 2⁵ = 76091 is a prime.

It is a super-3 number, since 3×76123³ = 1323332385818601, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 76123.

It is not a weakly prime, because it can be changed into another prime (76129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38061 + 38062.

It is an arithmetic number, because the mean of its divisors is an integer number (38062).

2⁷⁶¹²³ is an apocalyptic number.

76123 is a deficient number, since it is larger than the sum of its proper divisors (1).

76123 is an equidigital number, since it uses as much as digits as its factorization.

76123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 76123 is about 275.9039688007. The cubic root of 76123 is about 42.3810746796.

Subtracting from 76123 its reverse (32167), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 761 and 23, that added together give a square (784 = 28²).

The spelling of 76123 in words is "seventy-six thousand, one hundred twenty-three".