122628577 has 2 divisors, whose sum is σ = 122628578. Its totient is φ = 122628576.

The previous prime is 122628553. The next prime is 122628587. The reversal of 122628577 is 775826221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111007296 + 11621281 = 10536^2 + 3409^2 .

It is a cyclic number.

It is not a de Polignac number, because 122628577 - 2⁷ = 122628449 is a prime.

It is equal to p_6982690 and since 122628577 and 6982690 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 (122628547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61314288 + 61314289.

It is an arithmetic number, because the mean of its divisors is an integer number (61314289).

Almost surely, 2^122628577 is an apocalyptic number.

It is an amenable number.

122628577 is a deficient number, since it is larger than the sum of its proper divisors (1).

122628577 is an equidigital number, since it uses as much as digits as its factorization.

122628577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94080, while the sum is 40.

The square root of 122628577 is about 11073.7788040036. The cubic root of 122628577 is about 496.8178940317.

The spelling of 122628577 in words is "one hundred twenty-two million, six hundred twenty-eight thousand, five hundred seventy-seven".