77005213 has 2 divisors, whose sum is σ = 77005214. Its totient is φ = 77005212.

The previous prime is 77005211. The next prime is 77005231. The reversal of 77005213 is 31250077.

Together with next prime (77005231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41447844 + 35557369 = 6438^2 + 5963^2 .

It is a cyclic number.

It is not a de Polignac number, because 77005213 - 2¹ = 77005211 is a prime.

Together with 77005211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77005211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38502606 + 38502607.

It is an arithmetic number, because the mean of its divisors is an integer number (38502607).

Almost surely, 2^77005213 is an apocalyptic number.

It is an amenable number.

77005213 is a deficient number, since it is larger than the sum of its proper divisors (1).

77005213 is an equidigital number, since it uses as much as digits as its factorization.

77005213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 77005213 is about 8775.2614206074. The cubic root of 77005213 is about 425.4416870631.

The spelling of 77005213 in words is "seventy-seven million, five thousand, two hundred thirteen".