23001825 has 72 divisors (see below), whose sum is σ = 48345120. Its totient is φ = 9542400.

The previous prime is 23001809. The next prime is 23001829. The reversal of 23001825 is 52810032.

23001825 = 661² + 662² + ... + 709².

It is not a de Polignac number, because 23001825 - 2⁴ = 23001809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (23001829) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40141 + ... + 40709.

It is an arithmetic number, because the mean of its divisors is an integer number (671460).

Almost surely, 2^23001825 is an apocalyptic number.

23001825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23001825 is an abundant number, since it is smaller than the sum of its proper divisors (25343295).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23001825 is a wasteful number, since it uses less digits than its factorization.

23001825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 23001825 is about 4796.0217889413. The cubic root of 23001825 is about 284.3942196083.

Adding to 23001825 its reverse (52810032), we get a palindrome (75811857).

The spelling of 23001825 in words is "twenty-three million, one thousand, eight hundred twenty-five".