961577657 has 2 divisors, whose sum is σ = 961577658. Its totient is φ = 961577656.

The previous prime is 961577611. The next prime is 961577663. The reversal of 961577657 is 756775169.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 920758336 + 40819321 = 30344^2 + 6389^2 .

It is an emirp because it is prime and its reverse (756775169) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 961577657 - 2¹⁰ = 961576633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 961577599 and 961577608.

It is not a weakly prime, because it can be changed into another prime (961577557) 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, 480788828 + 480788829.

It is an arithmetic number, because the mean of its divisors is an integer number (480788829).

Almost surely, 2^961577657 is an apocalyptic number.

It is an amenable number.

961577657 is a deficient number, since it is larger than the sum of its proper divisors (1).

961577657 is an equidigital number, since it uses as much as digits as its factorization.

961577657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2778300, while the sum is 53.

The square root of 961577657 is about 31009.3156486885. The cubic root of 961577657 is about 987.0249279677.

The spelling of 961577657 in words is "nine hundred sixty-one million, five hundred seventy-seven thousand, six hundred fifty-seven".