23457825 has 36 divisors (see below), whose sum is σ = 42377868. Its totient is φ = 12403200.

The previous prime is 23457823. The next prime is 23457827. The reversal of 23457825 is 52875432.

23457825 is a nontrivial binomial coefficient, being equal to C(6850, 2).

It is an interprime number because it is at equal distance from previous prime (23457823) and next prime (23457827).

It can be written as a sum of positive squares in 6 ways, for example, as 4717584 + 18740241 = 2172^2 + 4329^2 .

It is not a de Polignac number, because 23457825 - 2¹ = 23457823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23457825.

It is not an unprimeable number, because it can be changed into a prime (23457823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30445 + ... + 31205.

It is an arithmetic number, because the mean of its divisors is an integer number (1177163).

Almost surely, 2^23457825 is an apocalyptic number.

23457825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23457825 is the 6849-th triangular number and also the 3425-th hexagonal number.

It is an amenable number.

23457825 is a deficient number, since it is larger than the sum of its proper divisors (18920043).

23457825 is a wasteful number, since it uses less digits than its factorization.

23457825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 23457825 is about 4843.3278848329. The cubic root of 23457825 is about 286.2612614195.

The spelling of 23457825 in words is "twenty-three million, four hundred fifty-seven thousand, eight hundred twenty-five".