122753657 has 12 divisors (see below), whose sum is σ = 133690284. Its totient is φ = 112656960.

The previous prime is 122753641. The next prime is 122753663. The reversal of 122753657 is 756357221.

It can be written as a sum of positive squares in 6 ways, for example, as 32959081 + 89794576 = 5741^2 + 9476^2 .

It is not a de Polignac number, because 122753657 - 2⁴ = 122753641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122753657.

It is not an unprimeable number, because it can be changed into a prime (122753627) 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 in 11 ways as a sum of consecutive naturals, for example, 28583 + ... + 32595.

It is an arithmetic number, because the mean of its divisors is an integer number (11140857).

Almost surely, 2^122753657 is an apocalyptic number.

It is an amenable number.

122753657 is a deficient number, since it is larger than the sum of its proper divisors (10936627).

122753657 is a wasteful number, since it uses less digits than its factorization.

122753657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4207 counting only the distinct ones).

The product of its digits is 88200, while the sum is 38.

The square root of 122753657 is about 11079.4249399506. The cubic root of 122753657 is about 496.9867531660.

The spelling of 122753657 in words is "one hundred twenty-two million, seven hundred fifty-three thousand, six hundred fifty-seven".