23642125 has 16 divisors (see below), whose sum is σ = 31777200. Its totient is φ = 17457600.

The previous prime is 23642123. The next prime is 23642153. The reversal of 23642125 is 52124632.

23642125 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 8 ways, for example, as 7912969 + 15729156 = 2813^2 + 3966^2 .

It is not a de Polignac number, because 23642125 - 2¹ = 23642123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 23642125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23642123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5650 + ... + 8899.

It is an arithmetic number, because the mean of its divisors is an integer number (1986075).

Almost surely, 2^23642125 is an apocalyptic number.

23642125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23642125 is a deficient number, since it is larger than the sum of its proper divisors (8135075).

23642125 is a wasteful number, since it uses less digits than its factorization.

23642125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14577 (or 14567 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 23642125 is about 4862.3168345964. The cubic root of 23642125 is about 287.0089917744.

Adding to 23642125 its reverse (52124632), we get a palindrome (75766757).

It can be divided in two parts, 2364 and 2125, that added together give a square (4489 = 67²).

The spelling of 23642125 in words is "twenty-three million, six hundred forty-two thousand, one hundred twenty-five".