7436961 has 48 divisors (see below), whose sum is σ = 13411200. Its totient is φ = 3989088.

The previous prime is 7436941. The next prime is 7436971. The reversal of 7436961 is 1696347.

It is not a de Polignac number, because 7436961 - 2⁷ = 7436833 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (7436921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68175 + ... + 68283.

It is an arithmetic number, because the mean of its divisors is an integer number (279400).

Almost surely, 2^7436961 is an apocalyptic number.

It is an amenable number.

7436961 is a deficient number, since it is larger than the sum of its proper divisors (5974239).

7436961 is a wasteful number, since it uses less digits than its factorization.

7436961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 7436961 is about 2727.0792067705. The cubic root of 7436961 is about 195.1934175561.

The spelling of 7436961 in words is "seven million, four hundred thirty-six thousand, nine hundred sixty-one".