122625 has 24 divisors (see below), whose sum is σ = 223080. Its totient is φ = 64800.

The previous prime is 122611. The next prime is 122651. The reversal of 122625 is 526221.

122625 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 1521 + 121104 = 39^2 + 348^2 .

It is not a de Polignac number, because 122625 - 2⁴ = 122609 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122598 and 122607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (9295).

2¹²²⁶²⁵ is an apocalyptic number.

122625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122625 is a deficient number, since it is larger than the sum of its proper divisors (100455).

122625 is a wasteful number, since it uses less digits than its factorization.

122625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 122625 is about 350.1785258979. The cubic root of 122625 is about 49.6813063361.

Adding to 122625 its reverse (526221), we get a palindrome (648846).

It can be divided in two parts, 122 and 625, that added together give a palindrome (747).

The spelling of 122625 in words is "one hundred twenty-two thousand, six hundred twenty-five".