76013 has 4 divisors (see below), whose sum is σ = 86880. Its totient is φ = 65148.

The previous prime is 76003. The next prime is 76031. The reversal of 76013 is 31067.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31067 = 47 ⋅661.

It is a cyclic number.

It is not a de Polignac number, because 76013 - 2⁴ = 75997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 75982 and 76000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5423 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (21720).

2⁷⁶⁰¹³ is an apocalyptic number.

It is an amenable number.

76013 is a deficient number, since it is larger than the sum of its proper divisors (10867).

76013 is a wasteful number, since it uses less digits than its factorization.

76013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10866.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 76013 is about 275.7045520118. The cubic root of 76013 is about 42.3606508674.

The spelling of 76013 in words is "seventy-six thousand, thirteen".