122645961 has 16 divisors (see below), whose sum is σ = 181921920. Its totient is φ = 81663120.

The previous prime is 122645953. The next prime is 122645981. The reversal of 122645961 is 169546221.

122645961 is a `hidden beast` number, since 1 + 2 + 2 + 64 + 596 + 1 = 666.

It is not a de Polignac number, because 122645961 - 2³ = 122645953 is a prime.

It is a super-3 number, since 3×122645961³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122645981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24231 + ... + 28851.

It is an arithmetic number, because the mean of its divisors is an integer number (11370120).

Almost surely, 2^122645961 is an apocalyptic number.

It is an amenable number.

122645961 is a deficient number, since it is larger than the sum of its proper divisors (59275959).

122645961 is an equidigital number, since it uses as much as digits as its factorization.

122645961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5607 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 122645961 is about 11074.5636934373. The cubic root of 122645961 is about 496.8413694575.

It can be divided in two parts, 12264 and 5961, that added together give a square (18225 = 135²).

The spelling of 122645961 in words is "one hundred twenty-two million, six hundred forty-five thousand, nine hundred sixty-one".