122965921 has 9 divisors (see below), whose sum is σ = 133308729. Its totient is φ = 113373936.

The previous prime is 122965907. The next prime is 122965943. The reversal of 122965921 is 129569221.

The square root of 122965921 is 11089.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 79405921 + 43560000 = 8911^2 + 6600^2 .

It is a de Polignac number, because none of the positive numbers 2^k-122965921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122965121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143731 + ... + 144583.

It is an arithmetic number, because the mean of its divisors is an integer number (14812081).

Almost surely, 2^122965921 is an apocalyptic number.

122965921 is the 11089-th square number.

122965921 is the 5545-th centered octagonal number.

It is an amenable number.

122965921 is a deficient number, since it is larger than the sum of its proper divisors (10342808).

122965921 is an frugal number, since it uses more digits than its factorization.

122965921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 866 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The cubic root of 122965921 is about 497.2730491829.

The spelling of 122965921 in words is "one hundred twenty-two million, nine hundred sixty-five thousand, nine hundred twenty-one".