7733961 has 21 divisors (see below), whose sum is σ = 11709309. Its totient is φ = 5105916.

The previous prime is 7733951. The next prime is 7733983. The reversal of 7733961 is 1693377.

The square root of 7733961 is 2781.

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

It is not a de Polignac number, because 7733961 - 2¹⁹ = 7209673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7733941) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 75036 + ... + 75138.

Almost surely, 2^7733961 is an apocalyptic number.

7733961 is the 2781-st square number.

7733961 is the 1391-st centered octagonal number.

It is an amenable number.

7733961 is a deficient number, since it is larger than the sum of its proper divisors (3975348).

7733961 is an frugal number, since it uses more digits than its factorization.

7733961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 106 counting only the distinct ones).

The product of its digits is 23814, while the sum is 36.

The cubic root of 7733961 is about 197.7579687291.

Multiplying 7733961 by its sum of digits (36), we get a square (278422596 = 16686²).

The spelling of 7733961 in words is "seven million, seven hundred thirty-three thousand, nine hundred sixty-one".