64496961 has 9 divisors (see below), whose sum is σ = 93197091. Its totient is φ = 42981912.

The previous prime is 64496959. The next prime is 64496987. The reversal of 64496961 is 16969446.

The square root of 64496961 is 8031.

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., 1199025 + 63297936 = 1095^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 64496961 - 2¹ = 64496959 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64496941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22755 + ... + 25431.

Almost surely, 2^64496961 is an apocalyptic number.

64496961 is the 8031-st square number.

64496961 is the 4016-th centered octagonal number.

It is an amenable number.

64496961 is a deficient number, since it is larger than the sum of its proper divisors (28700130).

64496961 is an frugal number, since it uses more digits than its factorization.

64496961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 2680 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The cubic root of 64496961 is about 401.0326671190.

It can be divided in two parts, 64 and 496961, that added together give a square (497025 = 705²).

The spelling of 64496961 in words is "sixty-four million, four hundred ninety-six thousand, nine hundred sixty-one".