1005677 has 2 divisors, whose sum is σ = 1005678. Its totient is φ = 1005676.

The previous prime is 1005661. The next prime is 1005679. The reversal of 1005677 is 7765001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 978121 + 27556 = 989^2 + 166^2 .

It is an emirp because it is prime and its reverse (7765001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005677 - 2⁴ = 1005661 is a prime.

It is a super-2 number, since 2×1005677² = 2022772456658, which contains 22 as substring.

Together with 1005679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502838 + 502839.

It is an arithmetic number, because the mean of its divisors is an integer number (502839).

2^1005677 is an apocalyptic number.

It is an amenable number.

1005677 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005677 is an equidigital number, since it uses as much as digits as its factorization.

1005677 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 26.

The square root of 1005677 is about 1002.8344828535. The cubic root of 1005677 is about 100.1888763659.

The spelling of 1005677 in words is "one million, five thousand, six hundred seventy-seven".