122617625 has 32 divisors (see below), whose sum is σ = 167635104. Its totient is φ = 88992000.

The previous prime is 122617619. The next prime is 122617633. The reversal of 122617625 is 526716221.

It can be written as a sum of positive squares in 16 ways, for example, as 117332224 + 5285401 = 10832^2 + 2299^2 .

It is not a de Polignac number, because 122617625 - 2¹⁰ = 122616601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122617591 and 122617600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98507 + ... + 99743.

It is an arithmetic number, because the mean of its divisors is an integer number (5238597).

Almost surely, 2^122617625 is an apocalyptic number.

It is an amenable number.

122617625 is a deficient number, since it is larger than the sum of its proper divisors (45017479).

122617625 is a wasteful number, since it uses less digits than its factorization.

122617625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1316 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 122617625 is about 11073.2842914828. The cubic root of 122617625 is about 496.8031032662.

The spelling of 122617625 in words is "one hundred twenty-two million, six hundred seventeen thousand, six hundred twenty-five".