77613 has 8 divisors (see below), whose sum is σ = 106176. Its totient is φ = 50400.

The previous prime is 77611. The next prime is 77617. The reversal of 77613 is 31677.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 77613 - 2¹ = 77611 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (13272).

2⁷⁷⁶¹³ is an apocalyptic number.

It is an amenable number.

77613 is a deficient number, since it is larger than the sum of its proper divisors (28563).

77613 is a wasteful number, since it uses less digits than its factorization.

77613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675.

The product of its digits is 882, while the sum is 24.

The square root of 77613 is about 278.5910982067. The cubic root of 77613 is about 42.6558064264.

The spelling of 77613 in words is "seventy-seven thousand, six hundred thirteen".