7382961 has 16 divisors (see below), whose sum is σ = 11054400. Its totient is φ = 4869504.

The previous prime is 7382959. The next prime is 7382983. The reversal of 7382961 is 1692837.

7382961 = 261² + 262² + ... + 341².

7382961 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7382961 - 2¹ = 7382959 is a prime.

It is a super-2 number, since 2×7382961² = 109016226255042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7382951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210 + ... + 4028.

It is an arithmetic number, because the mean of its divisors is an integer number (690900).

Almost surely, 2^7382961 is an apocalyptic number.

It is an amenable number.

7382961 is a deficient number, since it is larger than the sum of its proper divisors (3671439).

7382961 is a wasteful number, since it uses less digits than its factorization.

7382961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2919 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7382961 is about 2717.1604663693. The cubic root of 7382961 is about 194.7198343520.

The spelling of 7382961 in words is "seven million, three hundred eighty-two thousand, nine hundred sixty-one".