11973825 has 54 divisors (see below), whose sum is σ = 22575254. Its totient is φ = 6298560.

The previous prime is 11973821. The next prime is 11973833. The reversal of 11973825 is 52837911.

11973825 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 944784 + 11029041 = 972^2 + 3321^2 .

It is not a de Polignac number, because 11973825 - 2² = 11973821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11973825.

It is not an unprimeable number, because it can be changed into a prime (11973821) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 163989 + ... + 164061.

Almost surely, 2^11973825 is an apocalyptic number.

11973825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11973825 is a deficient number, since it is larger than the sum of its proper divisors (10601429).

11973825 is an frugal number, since it uses more digits than its factorization.

11973825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11973825 is about 3460.3215168536. The cubic root of 11973825 is about 228.7762668037.

The spelling of 11973825 in words is "eleven million, nine hundred seventy-three thousand, eight hundred twenty-five".