77013 has 12 divisors (see below), whose sum is σ = 114400. Its totient is φ = 49896.

The previous prime is 77003. The next prime is 77017. The reversal of 77013 is 31077.

It is not a de Polignac number, because 77013 - 2⁶ = 76949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288 + ... + 486.

2⁷⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

77013 is a deficient number, since it is larger than the sum of its proper divisors (37387).

77013 is a wasteful number, since it uses less digits than its factorization.

77013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 77013 is about 277.5121618957. The cubic root of 77013 is about 42.5456027230.

The spelling of 77013 in words is "seventy-seven thousand, thirteen".