12033961 has 3 divisors (see below), whose sum is σ = 12037431. Its totient is φ = 12030492.

The previous prime is 12033953. The next prime is 12033971. The reversal of 12033961 is 16933021.

The square root of 12033961 is 3469.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 337561 + 11696400 = 581^2 + 3420^2 .

It is not a de Polignac number, because 12033961 - 2³ = 12033953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12033941) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1735 + ... + 5203.

It is an arithmetic number, because the mean of its divisors is an integer number (4012477).

Almost surely, 2^12033961 is an apocalyptic number.

12033961 is the 3469-th square number.

12033961 is the 1735-th centered octagonal number.

It is an amenable number.

12033961 is a deficient number, since it is larger than the sum of its proper divisors (3470).

12033961 is an frugal number, since it uses more digits than its factorization.

12033961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6938 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The cubic root of 12033961 is about 229.1586208672.

Multiplying 12033961 by its sum of digits (25), we get a square (300849025 = 17345²).

Adding to 12033961 its reverse (16933021), we get a palindrome (28966982).

The spelling of 12033961 in words is "twelve million, thirty-three thousand, nine hundred sixty-one".