48566961 has 27 divisors (see below), whose sum is σ = 74068267. Its totient is φ = 30663600.

The previous prime is 48566939. The next prime is 48566989. The reversal of 48566961 is 16966584.

The square root of 48566961 is 6969.

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

It can be written as a sum of positive squares in only one way, i.e., 46662561 + 1904400 = 6831^2 + 1380^2 .

It is not a de Polignac number, because 48566961 - 2⁵ = 48566929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48516961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 480811 + ... + 480911.

Almost surely, 2^48566961 is an apocalyptic number.

48566961 is the 6969-th square number.

48566961 is the 3485-th centered octagonal number.

It is an amenable number.

48566961 is a deficient number, since it is larger than the sum of its proper divisors (25501306).

48566961 is a wasteful number, since it uses less digits than its factorization.

48566961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 48566961 is about 364.8494055677.

It can be divided in two parts, 48 and 566961, that added together give a square (567009 = 753²).

The spelling of 48566961 in words is "forty-eight million, five hundred sixty-six thousand, nine hundred sixty-one".