77349 has 16 divisors (see below), whose sum is σ = 115200. Its totient is φ = 45936.

The previous prime is 77347. The next prime is 77351. The reversal of 77349 is 94377.

77349 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (77347) and next prime (77351).

It is not a de Polignac number, because 77349 - 2¹ = 77347 is a prime.

It is a Curzon number.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁷⁷³⁴⁹ is an apocalyptic number.

It is an amenable number.

77349 is a deficient number, since it is larger than the sum of its proper divisors (37851).

77349 is a wasteful number, since it uses less digits than its factorization.

77349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104.

The product of its digits is 5292, while the sum is 30.

The square root of 77349 is about 278.1168819040. The cubic root of 77349 is about 42.6073870238.

The spelling of 77349 in words is "seventy-seven thousand, three hundred forty-nine".