77249 has 2 divisors, whose sum is σ = 77250. Its totient is φ = 77248.

The previous prime is 77243. The next prime is 77261. The reversal of 77249 is 94277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 37249 = 200^2 + 193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77249 is a prime.

It is a Chen prime.

It is equal to p₇₅₈₉ and since 77249 and 7589 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (77243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38624 + 38625.

It is an arithmetic number, because the mean of its divisors is an integer number (38625).

2⁷⁷²⁴⁹ is an apocalyptic number.

It is an amenable number.

77249 is a deficient number, since it is larger than the sum of its proper divisors (1).

77249 is an equidigital number, since it uses as much as digits as its factorization.

77249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3528, while the sum is 29.

The square root of 77249 is about 277.9370432310. The cubic root of 77249 is about 42.5890175720.

The spelling of 77249 in words is "seventy-seven thousand, two hundred forty-nine".