977813 has 2 divisors, whose sum is σ = 977814. Its totient is φ = 977812.

The previous prime is 977803. The next prime is 977819. The reversal of 977813 is 318779.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 879844 + 97969 = 938^2 + 313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-977813 is a prime.

It is a super-2 number, since 2×977813² = 1912236525938, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (977819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 488906 + 488907.

It is an arithmetic number, because the mean of its divisors is an integer number (488907).

2⁹⁷⁷⁸¹³ is an apocalyptic number.

It is an amenable number.

977813 is a deficient number, since it is larger than the sum of its proper divisors (1).

977813 is an equidigital number, since it uses as much as digits as its factorization.

977813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 35.

The square root of 977813 is about 988.8442748987. The cubic root of 977813 is about 99.2548953123.

The spelling of 977813 in words is "nine hundred seventy-seven thousand, eight hundred thirteen".